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Finding the Fourth Proportional to 5,872.40, 8,759.12 and 5,464.16

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Solution

The fourth proportional to 5,872.40, 8,759.12 and 5,464.16 is: 8,150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872.40 : 8,759.12 = 5,464.16 : x
  2. Step 2: Convert to fraction form
    5,872.40/8,759.12 = 5,464.16/x
  3. Step 3: Cross multiply
    5,872.40x = 8,759.12 × 5,464.16
  4. Step 4: Simplify right side
    5,872.40x = 47,861,233.14
  5. Step 5: Solve for x
    x = 47,861,233.14/5,872.40
  6. Step 6: Final answer
    x = 8,150.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.