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Finding the Fourth Proportional to 5,577.10, 7,695.17 and 3,218.74

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Solution

The fourth proportional to 5,577.10, 7,695.17 and 3,218.74 is: 4,441.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.10 : 7,695.17 = 3,218.74 : x
  2. Step 2: Convert to fraction form
    5,577.10/7,695.17 = 3,218.74/x
  3. Step 3: Cross multiply
    5,577.10x = 7,695.17 × 3,218.74
  4. Step 4: Simplify right side
    5,577.10x = 24,768,751.49
  5. Step 5: Solve for x
    x = 24,768,751.49/5,577.10
  6. Step 6: Final answer
    x = 4,441.15

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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.