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Finding the Fourth Proportional to 5,773.28, 8,654.72 and 2,074.64

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Solution

The fourth proportional to 5,773.28, 8,654.72 and 2,074.64 is: 3,110.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,773.28 : 8,654.72 = 2,074.64 : x
  2. Step 2: Convert to fraction form
    5,773.28/8,654.72 = 2,074.64/x
  3. Step 3: Cross multiply
    5,773.28x = 8,654.72 × 2,074.64
  4. Step 4: Simplify right side
    5,773.28x = 17,955,374.65
  5. Step 5: Solve for x
    x = 17,955,374.65/5,773.28
  6. Step 6: Final answer
    x = 3,110.08

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Why These Related Problems?

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