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Finding the Fourth Proportional to 3,092.34, 4,637.88 and 2,575.65

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Solution

The fourth proportional to 3,092.34, 4,637.88 and 2,575.65 is: 3,862.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,092.34 : 4,637.88 = 2,575.65 : x
  2. Step 2: Convert to fraction form
    3,092.34/4,637.88 = 2,575.65/x
  3. Step 3: Cross multiply
    3,092.34x = 4,637.88 × 2,575.65
  4. Step 4: Simplify right side
    3,092.34x = 11,945,555.62
  5. Step 5: Solve for x
    x = 11,945,555.62/3,092.34
  6. Step 6: Final answer
    x = 3,862.95

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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.