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Finding the Fourth Proportional to 4,347.82, 6,520.44 and 1,882.04

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Solution

The fourth proportional to 4,347.82, 6,520.44 and 1,882.04 is: 2,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.82 : 6,520.44 = 1,882.04 : x
  2. Step 2: Convert to fraction form
    4,347.82/6,520.44 = 1,882.04/x
  3. Step 3: Cross multiply
    4,347.82x = 6,520.44 × 1,882.04
  4. Step 4: Simplify right side
    4,347.82x = 12,271,728.90
  5. Step 5: Solve for x
    x = 12,271,728.90/4,347.82
  6. Step 6: Final answer
    x = 2,822.50

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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.