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Finding the Fourth Proportional to 3,598.65, 5,388.96 and 2,278.42

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Solution

The fourth proportional to 3,598.65, 5,388.96 and 2,278.42 is: 3,411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,598.65 : 5,388.96 = 2,278.42 : x
  2. Step 2: Convert to fraction form
    3,598.65/5,388.96 = 2,278.42/x
  3. Step 3: Cross multiply
    3,598.65x = 5,388.96 × 2,278.42
  4. Step 4: Simplify right side
    3,598.65x = 12,278,314.24
  5. Step 5: Solve for x
    x = 12,278,314.24/3,598.65
  6. Step 6: Final answer
    x = 3,411.92

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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.