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Finding the Fourth Proportional to 3,705.82, 5,560.17 and 1,398.94

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Solution

The fourth proportional to 3,705.82, 5,560.17 and 1,398.94 is: 2,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,705.82 : 5,560.17 = 1,398.94 : x
  2. Step 2: Convert to fraction form
    3,705.82/5,560.17 = 1,398.94/x
  3. Step 3: Cross multiply
    3,705.82x = 5,560.17 × 1,398.94
  4. Step 4: Simplify right side
    3,705.82x = 7,778,344.22
  5. Step 5: Solve for x
    x = 7,778,344.22/3,705.82
  6. Step 6: Final answer
    x = 2,098.95

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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.