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Finding the Fourth Proportional to 5,881.08, 8,822.76 and 1,985.76

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Solution

The fourth proportional to 5,881.08, 8,822.76 and 1,985.76 is: 2,979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.08 : 8,822.76 = 1,985.76 : x
  2. Step 2: Convert to fraction form
    5,881.08/8,822.76 = 1,985.76/x
  3. Step 3: Cross multiply
    5,881.08x = 8,822.76 × 1,985.76
  4. Step 4: Simplify right side
    5,881.08x = 17,519,883.90
  5. Step 5: Solve for x
    x = 17,519,883.90/5,881.08
  6. Step 6: Final answer
    x = 2,979.02

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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.