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Finding the Fourth Proportional to 5,404.24, 8,102.95 and 2,282.63

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Solution

The fourth proportional to 5,404.24, 8,102.95 and 2,282.63 is: 3,422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,404.24 : 8,102.95 = 2,282.63 : x
  2. Step 2: Convert to fraction form
    5,404.24/8,102.95 = 2,282.63/x
  3. Step 3: Cross multiply
    5,404.24x = 8,102.95 × 2,282.63
  4. Step 4: Simplify right side
    5,404.24x = 18,496,036.76
  5. Step 5: Solve for x
    x = 18,496,036.76/5,404.24
  6. Step 6: Final answer
    x = 3,422.50

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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.