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Finding the Fourth Proportional to 3,116.66, 4,662.18 and 2,842.95

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Solution

The fourth proportional to 3,116.66, 4,662.18 and 2,842.95 is: 4,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.66 : 4,662.18 = 2,842.95 : x
  2. Step 2: Convert to fraction form
    3,116.66/4,662.18 = 2,842.95/x
  3. Step 3: Cross multiply
    3,116.66x = 4,662.18 × 2,842.95
  4. Step 4: Simplify right side
    3,116.66x = 13,254,343.89
  5. Step 5: Solve for x
    x = 13,254,343.89/3,116.66
  6. Step 6: Final answer
    x = 4,252.73

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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.