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Finding the Fourth Proportional to 3,419.60, 5,129.40 and 3,117.20

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Solution

The fourth proportional to 3,419.60, 5,129.40 and 3,117.20 is: 4,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.60 : 5,129.40 = 3,117.20 : x
  2. Step 2: Convert to fraction form
    3,419.60/5,129.40 = 3,117.20/x
  3. Step 3: Cross multiply
    3,419.60x = 5,129.40 × 3,117.20
  4. Step 4: Simplify right side
    3,419.60x = 15,989,365.68
  5. Step 5: Solve for x
    x = 15,989,365.68/3,419.60
  6. Step 6: Final answer
    x = 4,675.80

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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.