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Finding the Fourth Proportional to 4,862.08, 7,282.66 and 2,780.99

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Solution

The fourth proportional to 4,862.08, 7,282.66 and 2,780.99 is: 4,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.08 : 7,282.66 = 2,780.99 : x
  2. Step 2: Convert to fraction form
    4,862.08/7,282.66 = 2,780.99/x
  3. Step 3: Cross multiply
    4,862.08x = 7,282.66 × 2,780.99
  4. Step 4: Simplify right side
    4,862.08x = 20,252,990.73
  5. Step 5: Solve for x
    x = 20,252,990.73/4,862.08
  6. Step 6: Final answer
    x = 4,165.50

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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.