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Finding the Fourth Proportional to 3,659.46, 5,052.48 and 2,264.64

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Solution

The fourth proportional to 3,659.46, 5,052.48 and 2,264.64 is: 3,126.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.46 : 5,052.48 = 2,264.64 : x
  2. Step 2: Convert to fraction form
    3,659.46/5,052.48 = 2,264.64/x
  3. Step 3: Cross multiply
    3,659.46x = 5,052.48 × 2,264.64
  4. Step 4: Simplify right side
    3,659.46x = 11,442,048.31
  5. Step 5: Solve for x
    x = 11,442,048.31/3,659.46
  6. Step 6: Final answer
    x = 3,126.70

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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.