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Finding the Fourth Proportional to 4,297.16, 6,475 and 3,534.24

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Solution

The fourth proportional to 4,297.16, 6,475 and 3,534.24 is: 5,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.16 : 6,475 = 3,534.24 : x
  2. Step 2: Convert to fraction form
    4,297.16/6,475 = 3,534.24/x
  3. Step 3: Cross multiply
    4,297.16x = 6,475 × 3,534.24
  4. Step 4: Simplify right side
    4,297.16x = 22,884,204
  5. Step 5: Solve for x
    x = 22,884,204/4,297.16
  6. Step 6: Final answer
    x = 5,325.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.