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Finding the Fourth Proportional to 5,755.38, 8,632.05 and 1,538.65

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Solution

The fourth proportional to 5,755.38, 8,632.05 and 1,538.65 is: 2,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.38 : 8,632.05 = 1,538.65 : x
  2. Step 2: Convert to fraction form
    5,755.38/8,632.05 = 1,538.65/x
  3. Step 3: Cross multiply
    5,755.38x = 8,632.05 × 1,538.65
  4. Step 4: Simplify right side
    5,755.38x = 13,281,703.73
  5. Step 5: Solve for x
    x = 13,281,703.73/5,755.38
  6. Step 6: Final answer
    x = 2,307.70

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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.