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Finding the Fourth Proportional to 5,398.82, 8,098.23 and 1,503.23

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Solution

The fourth proportional to 5,398.82, 8,098.23 and 1,503.23 is: 2,254.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.82 : 8,098.23 = 1,503.23 : x
  2. Step 2: Convert to fraction form
    5,398.82/8,098.23 = 1,503.23/x
  3. Step 3: Cross multiply
    5,398.82x = 8,098.23 × 1,503.23
  4. Step 4: Simplify right side
    5,398.82x = 12,173,502.28
  5. Step 5: Solve for x
    x = 12,173,502.28/5,398.82
  6. Step 6: Final answer
    x = 2,254.85

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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.