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Finding the Fourth Proportional to 3,987.12, 5,977.56 and 2,427.48

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Solution

The fourth proportional to 3,987.12, 5,977.56 and 2,427.48 is: 3,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.12 : 5,977.56 = 2,427.48 : x
  2. Step 2: Convert to fraction form
    3,987.12/5,977.56 = 2,427.48/x
  3. Step 3: Cross multiply
    3,987.12x = 5,977.56 × 2,427.48
  4. Step 4: Simplify right side
    3,987.12x = 14,510,407.35
  5. Step 5: Solve for x
    x = 14,510,407.35/3,987.12
  6. Step 6: Final answer
    x = 3,639.32

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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.