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Finding the Fourth Proportional to 3,145.71, 4,689.63 and 2,998.08

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Solution

The fourth proportional to 3,145.71, 4,689.63 and 2,998.08 is: 4,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,145.71 : 4,689.63 = 2,998.08 : x
  2. Step 2: Convert to fraction form
    3,145.71/4,689.63 = 2,998.08/x
  3. Step 3: Cross multiply
    3,145.71x = 4,689.63 × 2,998.08
  4. Step 4: Simplify right side
    3,145.71x = 14,059,885.91
  5. Step 5: Solve for x
    x = 14,059,885.91/3,145.71
  6. Step 6: Final answer
    x = 4,469.54

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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.