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Finding the Fourth Proportional to 3,978.32, 5,490.58 and 2,406.42

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Solution

The fourth proportional to 3,978.32, 5,490.58 and 2,406.42 is: 3,321.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.32 : 5,490.58 = 2,406.42 : x
  2. Step 2: Convert to fraction form
    3,978.32/5,490.58 = 2,406.42/x
  3. Step 3: Cross multiply
    3,978.32x = 5,490.58 × 2,406.42
  4. Step 4: Simplify right side
    3,978.32x = 13,212,641.52
  5. Step 5: Solve for x
    x = 13,212,641.52/3,978.32
  6. Step 6: Final answer
    x = 3,321.16

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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.