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Finding the Fourth Proportional to 5,780.48, 8,672 and 3,182.08

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Solution

The fourth proportional to 5,780.48, 8,672 and 3,182.08 is: 4,773.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.48 : 8,672 = 3,182.08 : x
  2. Step 2: Convert to fraction form
    5,780.48/8,672 = 3,182.08/x
  3. Step 3: Cross multiply
    5,780.48x = 8,672 × 3,182.08
  4. Step 4: Simplify right side
    5,780.48x = 27,594,997.76
  5. Step 5: Solve for x
    x = 27,594,997.76/5,780.48
  6. Step 6: Final answer
    x = 4,773.82

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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.