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Finding the Fourth Proportional to 5,881.08, 8,111.16 and 5,171.40

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Solution

The fourth proportional to 5,881.08, 8,111.16 and 5,171.40 is: 7,132.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.08 : 8,111.16 = 5,171.40 : x
  2. Step 2: Convert to fraction form
    5,881.08/8,111.16 = 5,171.40/x
  3. Step 3: Cross multiply
    5,881.08x = 8,111.16 × 5,171.40
  4. Step 4: Simplify right side
    5,881.08x = 41,946,052.82
  5. Step 5: Solve for x
    x = 41,946,052.82/5,881.08
  6. Step 6: Final answer
    x = 7,132.37

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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.