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Finding the Fourth Proportional to 5,398.17, 8,095.70 and 2,278.88

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Solution

The fourth proportional to 5,398.17, 8,095.70 and 2,278.88 is: 3,417.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,398.17 : 8,095.70 = 2,278.88 : x
  2. Step 2: Convert to fraction form
    5,398.17/8,095.70 = 2,278.88/x
  3. Step 3: Cross multiply
    5,398.17x = 8,095.70 × 2,278.88
  4. Step 4: Simplify right side
    5,398.17x = 18,449,128.82
  5. Step 5: Solve for x
    x = 18,449,128.82/5,398.17
  6. Step 6: Final answer
    x = 3,417.66

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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.