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Finding the Fourth Proportional to 5,952.34, 8,921.31 and 4,297.42

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Solution

The fourth proportional to 5,952.34, 8,921.31 and 4,297.42 is: 6,440.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.34 : 8,921.31 = 4,297.42 : x
  2. Step 2: Convert to fraction form
    5,952.34/8,921.31 = 4,297.42/x
  3. Step 3: Cross multiply
    5,952.34x = 8,921.31 × 4,297.42
  4. Step 4: Simplify right side
    5,952.34x = 38,338,616.02
  5. Step 5: Solve for x
    x = 38,338,616.02/5,952.34
  6. Step 6: Final answer
    x = 6,440.93

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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.