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Finding the Fourth Proportional to 3,398.93, 5,098.87 and 1,059.11

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Solution

The fourth proportional to 3,398.93, 5,098.87 and 1,059.11 is: 1,588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.93 : 5,098.87 = 1,059.11 : x
  2. Step 2: Convert to fraction form
    3,398.93/5,098.87 = 1,059.11/x
  3. Step 3: Cross multiply
    3,398.93x = 5,098.87 × 1,059.11
  4. Step 4: Simplify right side
    3,398.93x = 5,400,264.21
  5. Step 5: Solve for x
    x = 5,400,264.21/3,398.93
  6. Step 6: Final answer
    x = 1,588.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.