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Finding the Fourth Proportional to 6,748.80, 9,302.56 and 4,091.20

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Solution

The fourth proportional to 6,748.80, 9,302.56 and 4,091.20 is: 5,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.80 : 9,302.56 = 4,091.20 : x
  2. Step 2: Convert to fraction form
    6,748.80/9,302.56 = 4,091.20/x
  3. Step 3: Cross multiply
    6,748.80x = 9,302.56 × 4,091.20
  4. Step 4: Simplify right side
    6,748.80x = 38,058,633.47
  5. Step 5: Solve for x
    x = 38,058,633.47/6,748.80
  6. Step 6: Final answer
    x = 5,639.32

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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.