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Finding the Fourth Proportional to 3,098.40, 4,267.90 and 2,894.28

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Solution

The fourth proportional to 3,098.40, 4,267.90 and 2,894.28 is: 3,986.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.40 : 4,267.90 = 2,894.28 : x
  2. Step 2: Convert to fraction form
    3,098.40/4,267.90 = 2,894.28/x
  3. Step 3: Cross multiply
    3,098.40x = 4,267.90 × 2,894.28
  4. Step 4: Simplify right side
    3,098.40x = 12,352,497.61
  5. Step 5: Solve for x
    x = 12,352,497.61/3,098.40
  6. Step 6: Final answer
    x = 3,986.73

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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.