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Finding the Fourth Proportional to 5,085.72, 7,627.41 and 1,966.14

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Solution

The fourth proportional to 5,085.72, 7,627.41 and 1,966.14 is: 2,948.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,085.72 : 7,627.41 = 1,966.14 : x
  2. Step 2: Convert to fraction form
    5,085.72/7,627.41 = 1,966.14/x
  3. Step 3: Cross multiply
    5,085.72x = 7,627.41 × 1,966.14
  4. Step 4: Simplify right side
    5,085.72x = 14,996,555.90
  5. Step 5: Solve for x
    x = 14,996,555.90/5,085.72
  6. Step 6: Final answer
    x = 2,948.76

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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.