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Finding the Fourth Proportional to 5,397.64, 7,400.16 and 5,299.24

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Solution

The fourth proportional to 5,397.64, 7,400.16 and 5,299.24 is: 7,265.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.64 : 7,400.16 = 5,299.24 : x
  2. Step 2: Convert to fraction form
    5,397.64/7,400.16 = 5,299.24/x
  3. Step 3: Cross multiply
    5,397.64x = 7,400.16 × 5,299.24
  4. Step 4: Simplify right side
    5,397.64x = 39,215,223.88
  5. Step 5: Solve for x
    x = 39,215,223.88/5,397.64
  6. Step 6: Final answer
    x = 7,265.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.