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Finding the Fourth Proportional to 5,052.71, 6,970.29 and 3,259.71

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Solution

The fourth proportional to 5,052.71, 6,970.29 and 3,259.71 is: 4,496.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.71 : 6,970.29 = 3,259.71 : x
  2. Step 2: Convert to fraction form
    5,052.71/6,970.29 = 3,259.71/x
  3. Step 3: Cross multiply
    5,052.71x = 6,970.29 × 3,259.71
  4. Step 4: Simplify right side
    5,052.71x = 22,721,124.02
  5. Step 5: Solve for x
    x = 22,721,124.02/5,052.71
  6. Step 6: Final answer
    x = 4,496.82

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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.