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Finding the Fourth Proportional to 5,082.66, 7,624.51 and 1,385.18

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Solution

The fourth proportional to 5,082.66, 7,624.51 and 1,385.18 is: 2,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.66 : 7,624.51 = 1,385.18 : x
  2. Step 2: Convert to fraction form
    5,082.66/7,624.51 = 1,385.18/x
  3. Step 3: Cross multiply
    5,082.66x = 7,624.51 × 1,385.18
  4. Step 4: Simplify right side
    5,082.66x = 10,561,318.76
  5. Step 5: Solve for x
    x = 10,561,318.76/5,082.66
  6. Step 6: Final answer
    x = 2,077.91

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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.