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Finding the Fourth Proportional to 4,138.64, 6,209.40 and 1,542.32

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Solution

The fourth proportional to 4,138.64, 6,209.40 and 1,542.32 is: 2,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.64 : 6,209.40 = 1,542.32 : x
  2. Step 2: Convert to fraction form
    4,138.64/6,209.40 = 1,542.32/x
  3. Step 3: Cross multiply
    4,138.64x = 6,209.40 × 1,542.32
  4. Step 4: Simplify right side
    4,138.64x = 9,576,881.81
  5. Step 5: Solve for x
    x = 9,576,881.81/4,138.64
  6. Step 6: Final answer
    x = 2,314.02

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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.