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Finding the Fourth Proportional to 3,409.60, 5,114.46 and 1,217.20

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Solution

The fourth proportional to 3,409.60, 5,114.46 and 1,217.20 is: 1,825.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 5,114.46 = 1,217.20 : x
  2. Step 2: Convert to fraction form
    3,409.60/5,114.46 = 1,217.20/x
  3. Step 3: Cross multiply
    3,409.60x = 5,114.46 × 1,217.20
  4. Step 4: Simplify right side
    3,409.60x = 6,225,320.71
  5. Step 5: Solve for x
    x = 6,225,320.71/3,409.60
  6. Step 6: Final answer
    x = 1,825.82

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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.