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Finding the Fourth Proportional to 5,398.29, 7,451.73 and 4,219.74

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Solution

The fourth proportional to 5,398.29, 7,451.73 and 4,219.74 is: 5,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.29 : 7,451.73 = 4,219.74 : x
  2. Step 2: Convert to fraction form
    5,398.29/7,451.73 = 4,219.74/x
  3. Step 3: Cross multiply
    5,398.29x = 7,451.73 × 4,219.74
  4. Step 4: Simplify right side
    5,398.29x = 31,444,363.15
  5. Step 5: Solve for x
    x = 31,444,363.15/5,398.29
  6. Step 6: Final answer
    x = 5,824.87

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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.