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Finding the Fourth Proportional to 6,126.57, 8,454.51 and 3,474.36

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Solution

The fourth proportional to 6,126.57, 8,454.51 and 3,474.36 is: 4,794.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,126.57 : 8,454.51 = 3,474.36 : x
  2. Step 2: Convert to fraction form
    6,126.57/8,454.51 = 3,474.36/x
  3. Step 3: Cross multiply
    6,126.57x = 8,454.51 × 3,474.36
  4. Step 4: Simplify right side
    6,126.57x = 29,374,011.36
  5. Step 5: Solve for x
    x = 29,374,011.36/6,126.57
  6. Step 6: Final answer
    x = 4,794.53

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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.