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Finding the Fourth Proportional to 5,984.34, 8,260.02 and 3,884.82

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Solution

The fourth proportional to 5,984.34, 8,260.02 and 3,884.82 is: 5,362.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.34 : 8,260.02 = 3,884.82 : x
  2. Step 2: Convert to fraction form
    5,984.34/8,260.02 = 3,884.82/x
  3. Step 3: Cross multiply
    5,984.34x = 8,260.02 × 3,884.82
  4. Step 4: Simplify right side
    5,984.34x = 32,088,690.90
  5. Step 5: Solve for x
    x = 32,088,690.90/5,984.34
  6. Step 6: Final answer
    x = 5,362.11

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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.