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Finding the Fourth Proportional to 5,742, 7,924.92 and 4,342.32

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Solution

The fourth proportional to 5,742, 7,924.92 and 4,342.32 is: 5,993.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742 : 7,924.92 = 4,342.32 : x
  2. Step 2: Convert to fraction form
    5,742/7,924.92 = 4,342.32/x
  3. Step 3: Cross multiply
    5,742x = 7,924.92 × 4,342.32
  4. Step 4: Simplify right side
    5,742x = 34,412,538.61
  5. Step 5: Solve for x
    x = 34,412,538.61/5,742
  6. Step 6: Final answer
    x = 5,993.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.