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Finding the Fourth Proportional to 4,218.87, 6,328.28 and 1,098.89

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Solution

The fourth proportional to 4,218.87, 6,328.28 and 1,098.89 is: 1,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.87 : 6,328.28 = 1,098.89 : x
  2. Step 2: Convert to fraction form
    4,218.87/6,328.28 = 1,098.89/x
  3. Step 3: Cross multiply
    4,218.87x = 6,328.28 × 1,098.89
  4. Step 4: Simplify right side
    4,218.87x = 6,954,083.61
  5. Step 5: Solve for x
    x = 6,954,083.61/4,218.87
  6. Step 6: Final answer
    x = 1,648.33

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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.