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Finding the Fourth Proportional to 6,149.57, 8,488.29 and 4,160.08

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Solution

The fourth proportional to 6,149.57, 8,488.29 and 4,160.08 is: 5,742.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.57 : 8,488.29 = 4,160.08 : x
  2. Step 2: Convert to fraction form
    6,149.57/8,488.29 = 4,160.08/x
  3. Step 3: Cross multiply
    6,149.57x = 8,488.29 × 4,160.08
  4. Step 4: Simplify right side
    6,149.57x = 35,312,015.55
  5. Step 5: Solve for x
    x = 35,312,015.55/6,149.57
  6. Step 6: Final answer
    x = 5,742.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.