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Finding the Fourth Proportional to 5,537.40, 7,630.04 and 3,765.92

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Solution

The fourth proportional to 5,537.40, 7,630.04 and 3,765.92 is: 5,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.40 : 7,630.04 = 3,765.92 : x
  2. Step 2: Convert to fraction form
    5,537.40/7,630.04 = 3,765.92/x
  3. Step 3: Cross multiply
    5,537.40x = 7,630.04 × 3,765.92
  4. Step 4: Simplify right side
    5,537.40x = 28,734,120.24
  5. Step 5: Solve for x
    x = 28,734,120.24/5,537.40
  6. Step 6: Final answer
    x = 5,189.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.