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Finding the Fourth Proportional to 3,419.64, 5,124.60 and 2,497.32

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Solution

The fourth proportional to 3,419.64, 5,124.60 and 2,497.32 is: 3,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.64 : 5,124.60 = 2,497.32 : x
  2. Step 2: Convert to fraction form
    3,419.64/5,124.60 = 2,497.32/x
  3. Step 3: Cross multiply
    3,419.64x = 5,124.60 × 2,497.32
  4. Step 4: Simplify right side
    3,419.64x = 12,797,766.07
  5. Step 5: Solve for x
    x = 12,797,766.07/3,419.64
  6. Step 6: Final answer
    x = 3,742.43

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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.