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Finding the Fourth Proportional to 5,780.72, 8,673.84 and 3,148.16

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Solution

The fourth proportional to 5,780.72, 8,673.84 and 3,148.16 is: 4,723.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.72 : 8,673.84 = 3,148.16 : x
  2. Step 2: Convert to fraction form
    5,780.72/8,673.84 = 3,148.16/x
  3. Step 3: Cross multiply
    5,780.72x = 8,673.84 × 3,148.16
  4. Step 4: Simplify right side
    5,780.72x = 27,306,592.77
  5. Step 5: Solve for x
    x = 27,306,592.77/5,780.72
  6. Step 6: Final answer
    x = 4,723.74

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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.