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Finding the Fourth Proportional to 5,394, 7,446.96 and 3,534.24

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Solution

The fourth proportional to 5,394, 7,446.96 and 3,534.24 is: 4,879.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,394 : 7,446.96 = 3,534.24 : x
  2. Step 2: Convert to fraction form
    5,394/7,446.96 = 3,534.24/x
  3. Step 3: Cross multiply
    5,394x = 7,446.96 × 3,534.24
  4. Step 4: Simplify right side
    5,394x = 26,319,343.91
  5. Step 5: Solve for x
    x = 26,319,343.91/5,394
  6. Step 6: Final answer
    x = 4,879.37

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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.