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Finding the Fourth Proportional to 4,456.60, 6,684.90 and 3,419.80

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Solution

The fourth proportional to 4,456.60, 6,684.90 and 3,419.80 is: 5,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.60 : 6,684.90 = 3,419.80 : x
  2. Step 2: Convert to fraction form
    4,456.60/6,684.90 = 3,419.80/x
  3. Step 3: Cross multiply
    4,456.60x = 6,684.90 × 3,419.80
  4. Step 4: Simplify right side
    4,456.60x = 22,861,021.02
  5. Step 5: Solve for x
    x = 22,861,021.02/4,456.60
  6. Step 6: Final answer
    x = 5,129.70

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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.