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Finding the Fourth Proportional to 3,657.58, 5,487.66 and 2,429.86

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Solution

The fourth proportional to 3,657.58, 5,487.66 and 2,429.86 is: 3,645.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.58 : 5,487.66 = 2,429.86 : x
  2. Step 2: Convert to fraction form
    3,657.58/5,487.66 = 2,429.86/x
  3. Step 3: Cross multiply
    3,657.58x = 5,487.66 × 2,429.86
  4. Step 4: Simplify right side
    3,657.58x = 13,334,245.53
  5. Step 5: Solve for x
    x = 13,334,245.53/3,657.58
  6. Step 6: Final answer
    x = 3,645.65

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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.