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Finding the Fourth Proportional to 5,052.71, 6,972.76 and 2,814.59

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Solution

The fourth proportional to 5,052.71, 6,972.76 and 2,814.59 is: 3,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.71 : 6,972.76 = 2,814.59 : x
  2. Step 2: Convert to fraction form
    5,052.71/6,972.76 = 2,814.59/x
  3. Step 3: Cross multiply
    5,052.71x = 6,972.76 × 2,814.59
  4. Step 4: Simplify right side
    5,052.71x = 19,625,460.57
  5. Step 5: Solve for x
    x = 19,625,460.57/5,052.71
  6. Step 6: Final answer
    x = 3,884.15

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