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Finding the Fourth Proportional to 5,748, 7,933.20 and 4,348.32

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Solution

The fourth proportional to 5,748, 7,933.20 and 4,348.32 is: 6,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748 : 7,933.20 = 4,348.32 : x
  2. Step 2: Convert to fraction form
    5,748/7,933.20 = 4,348.32/x
  3. Step 3: Cross multiply
    5,748x = 7,933.20 × 4,348.32
  4. Step 4: Simplify right side
    5,748x = 34,496,092.22
  5. Step 5: Solve for x
    x = 34,496,092.22/5,748
  6. Step 6: Final answer
    x = 6,001.41

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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.