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Finding the Fourth Proportional to 5,883.12, 8,822.16 and 2,184.72

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Solution

The fourth proportional to 5,883.12, 8,822.16 and 2,184.72 is: 3,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.12 : 8,822.16 = 2,184.72 : x
  2. Step 2: Convert to fraction form
    5,883.12/8,822.16 = 2,184.72/x
  3. Step 3: Cross multiply
    5,883.12x = 8,822.16 × 2,184.72
  4. Step 4: Simplify right side
    5,883.12x = 19,273,949.40
  5. Step 5: Solve for x
    x = 19,273,949.40/5,883.12
  6. Step 6: Final answer
    x = 3,276.14

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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.