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Finding the Fourth Proportional to 3,987.44, 5,982.12 and 1,390.32

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Solution

The fourth proportional to 3,987.44, 5,982.12 and 1,390.32 is: 2,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.44 : 5,982.12 = 1,390.32 : x
  2. Step 2: Convert to fraction form
    3,987.44/5,982.12 = 1,390.32/x
  3. Step 3: Cross multiply
    3,987.44x = 5,982.12 × 1,390.32
  4. Step 4: Simplify right side
    3,987.44x = 8,317,061.08
  5. Step 5: Solve for x
    x = 8,317,061.08/3,987.44
  6. Step 6: Final answer
    x = 2,085.81

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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.