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Finding the Fourth Proportional to 5,637.40, 7,777.01 and 3,648.59

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Solution

The fourth proportional to 5,637.40, 7,777.01 and 3,648.59 is: 5,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637.40 : 7,777.01 = 3,648.59 : x
  2. Step 2: Convert to fraction form
    5,637.40/7,777.01 = 3,648.59/x
  3. Step 3: Cross multiply
    5,637.40x = 7,777.01 × 3,648.59
  4. Step 4: Simplify right side
    5,637.40x = 28,375,164.06
  5. Step 5: Solve for x
    x = 28,375,164.06/5,637.40
  6. Step 6: Final answer
    x = 5,033.38

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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.