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Finding the Fourth Proportional to 3,987.42, 5,502.82 and 2,308.90

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Solution

The fourth proportional to 3,987.42, 5,502.82 and 2,308.90 is: 3,186.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,987.42 : 5,502.82 = 2,308.90 : x
  2. Step 2: Convert to fraction form
    3,987.42/5,502.82 = 2,308.90/x
  3. Step 3: Cross multiply
    3,987.42x = 5,502.82 × 2,308.90
  4. Step 4: Simplify right side
    3,987.42x = 12,705,461.10
  5. Step 5: Solve for x
    x = 12,705,461.10/3,987.42
  6. Step 6: Final answer
    x = 3,186.39

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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.