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Finding the Fourth Proportional to 3,182.46, 4,747.13 and 2,788.80

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Solution

The fourth proportional to 3,182.46, 4,747.13 and 2,788.80 is: 4,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182.46 : 4,747.13 = 2,788.80 : x
  2. Step 2: Convert to fraction form
    3,182.46/4,747.13 = 2,788.80/x
  3. Step 3: Cross multiply
    3,182.46x = 4,747.13 × 2,788.80
  4. Step 4: Simplify right side
    3,182.46x = 13,238,782.20
  5. Step 5: Solve for x
    x = 13,238,782.20/3,182.46
  6. Step 6: Final answer
    x = 4,159.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.