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Finding the Fourth Proportional to 5,082.65, 7,624.71 and 1,572.95

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Solution

The fourth proportional to 5,082.65, 7,624.71 and 1,572.95 is: 2,359.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.65 : 7,624.71 = 1,572.95 : x
  2. Step 2: Convert to fraction form
    5,082.65/7,624.71 = 1,572.95/x
  3. Step 3: Cross multiply
    5,082.65x = 7,624.71 × 1,572.95
  4. Step 4: Simplify right side
    5,082.65x = 11,993,279.73
  5. Step 5: Solve for x
    x = 11,993,279.73/5,082.65
  6. Step 6: Final answer
    x = 2,359.65

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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.