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Finding the Fourth Proportional to 5,006.54, 7,510.08 and 2,085.14

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Solution

The fourth proportional to 5,006.54, 7,510.08 and 2,085.14 is: 3,127.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.54 : 7,510.08 = 2,085.14 : x
  2. Step 2: Convert to fraction form
    5,006.54/7,510.08 = 2,085.14/x
  3. Step 3: Cross multiply
    5,006.54x = 7,510.08 × 2,085.14
  4. Step 4: Simplify right side
    5,006.54x = 15,659,568.21
  5. Step 5: Solve for x
    x = 15,659,568.21/5,006.54
  6. Step 6: Final answer
    x = 3,127.82

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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.