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Finding the Fourth Proportional to 3,978.87, 5,490.92 and 2,186.51

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Solution

The fourth proportional to 3,978.87, 5,490.92 and 2,186.51 is: 3,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.87 : 5,490.92 = 2,186.51 : x
  2. Step 2: Convert to fraction form
    3,978.87/5,490.92 = 2,186.51/x
  3. Step 3: Cross multiply
    3,978.87x = 5,490.92 × 2,186.51
  4. Step 4: Simplify right side
    3,978.87x = 12,005,913.10
  5. Step 5: Solve for x
    x = 12,005,913.10/3,978.87
  6. Step 6: Final answer
    x = 3,017.42

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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.