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Finding the Fourth Proportional to 5,614.21, 8,416.86 and 3,641.86

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Solution

The fourth proportional to 5,614.21, 8,416.86 and 3,641.86 is: 5,459.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.21 : 8,416.86 = 3,641.86 : x
  2. Step 2: Convert to fraction form
    5,614.21/8,416.86 = 3,641.86/x
  3. Step 3: Cross multiply
    5,614.21x = 8,416.86 × 3,641.86
  4. Step 4: Simplify right side
    5,614.21x = 30,653,025.76
  5. Step 5: Solve for x
    x = 30,653,025.76/5,614.21
  6. Step 6: Final answer
    x = 5,459.90

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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.