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Finding the Fourth Proportional to 3,980.44, 5,487.16 and 2,487.68

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Solution

The fourth proportional to 3,980.44, 5,487.16 and 2,487.68 is: 3,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.44 : 5,487.16 = 2,487.68 : x
  2. Step 2: Convert to fraction form
    3,980.44/5,487.16 = 2,487.68/x
  3. Step 3: Cross multiply
    3,980.44x = 5,487.16 × 2,487.68
  4. Step 4: Simplify right side
    3,980.44x = 13,650,298.19
  5. Step 5: Solve for x
    x = 13,650,298.19/3,980.44
  6. Step 6: Final answer
    x = 3,429.34

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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.