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Finding the Fourth Proportional to 5,577.65, 8,366.24 and 2,290.65

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Solution

The fourth proportional to 5,577.65, 8,366.24 and 2,290.65 is: 3,435.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577.65 : 8,366.24 = 2,290.65 : x
  2. Step 2: Convert to fraction form
    5,577.65/8,366.24 = 2,290.65/x
  3. Step 3: Cross multiply
    5,577.65x = 8,366.24 × 2,290.65
  4. Step 4: Simplify right side
    5,577.65x = 19,164,140.48
  5. Step 5: Solve for x
    x = 19,164,140.48/5,577.65
  6. Step 6: Final answer
    x = 3,435.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.