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Finding the Fourth Proportional to 4,132.98, 5,703.39 and 2,364.42

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Solution

The fourth proportional to 4,132.98, 5,703.39 and 2,364.42 is: 3,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.98 : 5,703.39 = 2,364.42 : x
  2. Step 2: Convert to fraction form
    4,132.98/5,703.39 = 2,364.42/x
  3. Step 3: Cross multiply
    4,132.98x = 5,703.39 × 2,364.42
  4. Step 4: Simplify right side
    4,132.98x = 13,485,209.38
  5. Step 5: Solve for x
    x = 13,485,209.38/4,132.98
  6. Step 6: Final answer
    x = 3,262.83

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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.