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Finding the Fourth Proportional to 5,323.79, 7,347.12 and 2,965.97

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Solution

The fourth proportional to 5,323.79, 7,347.12 and 2,965.97 is: 4,093.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.79 : 7,347.12 = 2,965.97 : x
  2. Step 2: Convert to fraction form
    5,323.79/7,347.12 = 2,965.97/x
  3. Step 3: Cross multiply
    5,323.79x = 7,347.12 × 2,965.97
  4. Step 4: Simplify right side
    5,323.79x = 21,791,337.51
  5. Step 5: Solve for x
    x = 21,791,337.51/5,323.79
  6. Step 6: Final answer
    x = 4,093.20

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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.