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Finding the Fourth Proportional to 5,347, 7,379.67 and 3,252.34

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Solution

The fourth proportional to 5,347, 7,379.67 and 3,252.34 is: 4,488.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347 : 7,379.67 = 3,252.34 : x
  2. Step 2: Convert to fraction form
    5,347/7,379.67 = 3,252.34/x
  3. Step 3: Cross multiply
    5,347x = 7,379.67 × 3,252.34
  4. Step 4: Simplify right side
    5,347x = 24,001,195.93
  5. Step 5: Solve for x
    x = 24,001,195.93/5,347
  6. Step 6: Final answer
    x = 4,488.72

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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.