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Finding the Fourth Proportional to 5,788.11, 7,987.54 and 3,397.66

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Solution

The fourth proportional to 5,788.11, 7,987.54 and 3,397.66 is: 4,688.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.11 : 7,987.54 = 3,397.66 : x
  2. Step 2: Convert to fraction form
    5,788.11/7,987.54 = 3,397.66/x
  3. Step 3: Cross multiply
    5,788.11x = 7,987.54 × 3,397.66
  4. Step 4: Simplify right side
    5,788.11x = 27,138,945.16
  5. Step 5: Solve for x
    x = 27,138,945.16/5,788.11
  6. Step 6: Final answer
    x = 4,688.74

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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.