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Finding the Fourth Proportional to 5,881.32, 8,823.06 and 2,186.10

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Solution

The fourth proportional to 5,881.32, 8,823.06 and 2,186.10 is: 3,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.32 : 8,823.06 = 2,186.10 : x
  2. Step 2: Convert to fraction form
    5,881.32/8,823.06 = 2,186.10/x
  3. Step 3: Cross multiply
    5,881.32x = 8,823.06 × 2,186.10
  4. Step 4: Simplify right side
    5,881.32x = 19,288,091.47
  5. Step 5: Solve for x
    x = 19,288,091.47/5,881.32
  6. Step 6: Final answer
    x = 3,279.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.