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Finding the Fourth Proportional to 3,419.60, 5,140.20 and 3,160.40

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Solution

The fourth proportional to 3,419.60, 5,140.20 and 3,160.40 is: 4,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.60 : 5,140.20 = 3,160.40 : x
  2. Step 2: Convert to fraction form
    3,419.60/5,140.20 = 3,160.40/x
  3. Step 3: Cross multiply
    3,419.60x = 5,140.20 × 3,160.40
  4. Step 4: Simplify right side
    3,419.60x = 16,245,088.08
  5. Step 5: Solve for x
    x = 16,245,088.08/3,419.60
  6. Step 6: Final answer
    x = 4,750.58

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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.