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Finding the Fourth Proportional to 3,978.38, 5,490.18 and 2,186.01

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Solution

The fourth proportional to 3,978.38, 5,490.18 and 2,186.01 is: 3,016.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.38 : 5,490.18 = 2,186.01 : x
  2. Step 2: Convert to fraction form
    3,978.38/5,490.18 = 2,186.01/x
  3. Step 3: Cross multiply
    3,978.38x = 5,490.18 × 2,186.01
  4. Step 4: Simplify right side
    3,978.38x = 12,001,569.08
  5. Step 5: Solve for x
    x = 12,001,569.08/3,978.38
  6. Step 6: Final answer
    x = 3,016.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.