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Finding the Fourth Proportional to 3,438.63, 5,158.05 and 1,098.66

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Solution

The fourth proportional to 3,438.63, 5,158.05 and 1,098.66 is: 1,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.63 : 5,158.05 = 1,098.66 : x
  2. Step 2: Convert to fraction form
    3,438.63/5,158.05 = 1,098.66/x
  3. Step 3: Cross multiply
    3,438.63x = 5,158.05 × 1,098.66
  4. Step 4: Simplify right side
    3,438.63x = 5,666,943.21
  5. Step 5: Solve for x
    x = 5,666,943.21/3,438.63
  6. Step 6: Final answer
    x = 1,648.02

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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.