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Finding the Fourth Proportional to 5,141.92, 7,712.88 and 2,066.08

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Solution

The fourth proportional to 5,141.92, 7,712.88 and 2,066.08 is: 3,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.92 : 7,712.88 = 2,066.08 : x
  2. Step 2: Convert to fraction form
    5,141.92/7,712.88 = 2,066.08/x
  3. Step 3: Cross multiply
    5,141.92x = 7,712.88 × 2,066.08
  4. Step 4: Simplify right side
    5,141.92x = 15,935,427.11
  5. Step 5: Solve for x
    x = 15,935,427.11/5,141.92
  6. Step 6: Final answer
    x = 3,099.12

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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.