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Finding the Fourth Proportional to 3,531.99, 4,874.18 and 2,206.46

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Solution

The fourth proportional to 3,531.99, 4,874.18 and 2,206.46 is: 3,044.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.99 : 4,874.18 = 2,206.46 : x
  2. Step 2: Convert to fraction form
    3,531.99/4,874.18 = 2,206.46/x
  3. Step 3: Cross multiply
    3,531.99x = 4,874.18 × 2,206.46
  4. Step 4: Simplify right side
    3,531.99x = 10,754,683.20
  5. Step 5: Solve for x
    x = 10,754,683.20/3,531.99
  6. Step 6: Final answer
    x = 3,044.94

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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.