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Finding the Fourth Proportional to 5,410.60, 8,115.90 and 4,681.60

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Solution

The fourth proportional to 5,410.60, 8,115.90 and 4,681.60 is: 7,022.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.60 : 8,115.90 = 4,681.60 : x
  2. Step 2: Convert to fraction form
    5,410.60/8,115.90 = 4,681.60/x
  3. Step 3: Cross multiply
    5,410.60x = 8,115.90 × 4,681.60
  4. Step 4: Simplify right side
    5,410.60x = 37,995,397.44
  5. Step 5: Solve for x
    x = 37,995,397.44/5,410.60
  6. Step 6: Final answer
    x = 7,022.40

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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.