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Finding the Fourth Proportional to 3,098.40, 4,269.89 and 3,041.47

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Solution

The fourth proportional to 3,098.40, 4,269.89 and 3,041.47 is: 4,191.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.40 : 4,269.89 = 3,041.47 : x
  2. Step 2: Convert to fraction form
    3,098.40/4,269.89 = 3,041.47/x
  3. Step 3: Cross multiply
    3,098.40x = 4,269.89 × 3,041.47
  4. Step 4: Simplify right side
    3,098.40x = 12,986,720.99
  5. Step 5: Solve for x
    x = 12,986,720.99/3,098.40
  6. Step 6: Final answer
    x = 4,191.43

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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.