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Finding the Fourth Proportional to 3,454.56, 4,765.88 and 2,407.24

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Solution

The fourth proportional to 3,454.56, 4,765.88 and 2,407.24 is: 3,321.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.56 : 4,765.88 = 2,407.24 : x
  2. Step 2: Convert to fraction form
    3,454.56/4,765.88 = 2,407.24/x
  3. Step 3: Cross multiply
    3,454.56x = 4,765.88 × 2,407.24
  4. Step 4: Simplify right side
    3,454.56x = 11,472,616.97
  5. Step 5: Solve for x
    x = 11,472,616.97/3,454.56
  6. Step 6: Final answer
    x = 3,321.01

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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.