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Finding the Fourth Proportional to 5,881.56, 8,820.66 and 2,418

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Solution

The fourth proportional to 5,881.56, 8,820.66 and 2,418 is: 3,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.56 : 8,820.66 = 2,418 : x
  2. Step 2: Convert to fraction form
    5,881.56/8,820.66 = 2,418/x
  3. Step 3: Cross multiply
    5,881.56x = 8,820.66 × 2,418
  4. Step 4: Simplify right side
    5,881.56x = 21,328,355.88
  5. Step 5: Solve for x
    x = 21,328,355.88/5,881.56
  6. Step 6: Final answer
    x = 3,626.31

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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.