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Finding the Fourth Proportional to 3,349.76, 4,624.98 and 2,562.44

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Solution

The fourth proportional to 3,349.76, 4,624.98 and 2,562.44 is: 3,537.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,349.76 : 4,624.98 = 2,562.44 : x
  2. Step 2: Convert to fraction form
    3,349.76/4,624.98 = 2,562.44/x
  3. Step 3: Cross multiply
    3,349.76x = 4,624.98 × 2,562.44
  4. Step 4: Simplify right side
    3,349.76x = 11,851,233.75
  5. Step 5: Solve for x
    x = 11,851,233.75/3,349.76
  6. Step 6: Final answer
    x = 3,537.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.