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Finding the Fourth Proportional to 3,531.48, 5,298.03 and 1,889.61

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Solution

The fourth proportional to 3,531.48, 5,298.03 and 1,889.61 is: 2,834.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.48 : 5,298.03 = 1,889.61 : x
  2. Step 2: Convert to fraction form
    3,531.48/5,298.03 = 1,889.61/x
  3. Step 3: Cross multiply
    3,531.48x = 5,298.03 × 1,889.61
  4. Step 4: Simplify right side
    3,531.48x = 10,011,210.47
  5. Step 5: Solve for x
    x = 10,011,210.47/3,531.48
  6. Step 6: Final answer
    x = 2,834.85

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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.