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Finding the Fourth Proportional to 3,102.48, 4,275.12 and 2,883.76

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Solution

The fourth proportional to 3,102.48, 4,275.12 and 2,883.76 is: 3,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.48 : 4,275.12 = 2,883.76 : x
  2. Step 2: Convert to fraction form
    3,102.48/4,275.12 = 2,883.76/x
  3. Step 3: Cross multiply
    3,102.48x = 4,275.12 × 2,883.76
  4. Step 4: Simplify right side
    3,102.48x = 12,328,420.05
  5. Step 5: Solve for x
    x = 12,328,420.05/3,102.48
  6. Step 6: Final answer
    x = 3,973.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.