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Finding the Fourth Proportional to 5,646,648.51, 7,791,742.42 and 3,198,735.29

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Solution

The fourth proportional to 5,646,648.51, 7,791,742.42 and 3,198,735.29 is: 4,413,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646,648.51 : 7,791,742.42 = 3,198,735.29 : x
  2. Step 2: Convert to fraction form
    5,646,648.51/7,791,742.42 = 3,198,735.29/x
  3. Step 3: Cross multiply
    5,646,648.51x = 7,791,742.42 × 3,198,735.29
  4. Step 4: Simplify right side
    5,646,648.51x = 24,923,721,460,926.52
  5. Step 5: Solve for x
    x = 24,923,721,460,926.52/5,646,648.51
  6. Step 6: Final answer
    x = 4,413,896.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.