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Finding the Fourth Proportional to 4,952.63, 7,428.74 and 2,871.14

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Solution

The fourth proportional to 4,952.63, 7,428.74 and 2,871.14 is: 4,306.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.63 : 7,428.74 = 2,871.14 : x
  2. Step 2: Convert to fraction form
    4,952.63/7,428.74 = 2,871.14/x
  3. Step 3: Cross multiply
    4,952.63x = 7,428.74 × 2,871.14
  4. Step 4: Simplify right side
    4,952.63x = 21,328,901.06
  5. Step 5: Solve for x
    x = 21,328,901.06/4,952.63
  6. Step 6: Final answer
    x = 4,306.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.