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Finding the Fourth Proportional to 3,120.64, 4,685.84 and 3,098.08

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Solution

The fourth proportional to 3,120.64, 4,685.84 and 3,098.08 is: 4,651.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,120.64 : 4,685.84 = 3,098.08 : x
  2. Step 2: Convert to fraction form
    3,120.64/4,685.84 = 3,098.08/x
  3. Step 3: Cross multiply
    3,120.64x = 4,685.84 × 3,098.08
  4. Step 4: Simplify right side
    3,120.64x = 14,517,107.19
  5. Step 5: Solve for x
    x = 14,517,107.19/3,120.64
  6. Step 6: Final answer
    x = 4,651.96

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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.