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Finding the Fourth Proportional to 5,881.02, 8,111.05 and 5,171.39

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Solution

The fourth proportional to 5,881.02, 8,111.05 and 5,171.39 is: 7,132.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.02 : 8,111.05 = 5,171.39 : x
  2. Step 2: Convert to fraction form
    5,881.02/8,111.05 = 5,171.39/x
  3. Step 3: Cross multiply
    5,881.02x = 8,111.05 × 5,171.39
  4. Step 4: Simplify right side
    5,881.02x = 41,945,402.86
  5. Step 5: Solve for x
    x = 41,945,402.86/5,881.02
  6. Step 6: Final answer
    x = 7,132.33

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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.