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Finding the Fourth Proportional to 3,472.64, 5,207.16 and 2,740.16

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Solution

The fourth proportional to 3,472.64, 5,207.16 and 2,740.16 is: 4,108.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.64 : 5,207.16 = 2,740.16 : x
  2. Step 2: Convert to fraction form
    3,472.64/5,207.16 = 2,740.16/x
  3. Step 3: Cross multiply
    3,472.64x = 5,207.16 × 2,740.16
  4. Step 4: Simplify right side
    3,472.64x = 14,268,451.55
  5. Step 5: Solve for x
    x = 14,268,451.55/3,472.64
  6. Step 6: Final answer
    x = 4,108.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.