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Finding the Fourth Proportional to 3,116.78, 4,661.50 and 2,712.18

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Solution

The fourth proportional to 3,116.78, 4,661.50 and 2,712.18 is: 4,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.78 : 4,661.50 = 2,712.18 : x
  2. Step 2: Convert to fraction form
    3,116.78/4,661.50 = 2,712.18/x
  3. Step 3: Cross multiply
    3,116.78x = 4,661.50 × 2,712.18
  4. Step 4: Simplify right side
    3,116.78x = 12,642,842.86
  5. Step 5: Solve for x
    x = 12,642,842.86/3,116.78
  6. Step 6: Final answer
    x = 4,056.38

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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.