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Finding the Fourth Proportional to 4,909.80, 6,773.80 and 2,785.04

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Solution

The fourth proportional to 4,909.80, 6,773.80 and 2,785.04 is: 3,842.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.80 : 6,773.80 = 2,785.04 : x
  2. Step 2: Convert to fraction form
    4,909.80/6,773.80 = 2,785.04/x
  3. Step 3: Cross multiply
    4,909.80x = 6,773.80 × 2,785.04
  4. Step 4: Simplify right side
    4,909.80x = 18,865,303.95
  5. Step 5: Solve for x
    x = 18,865,303.95/4,909.80
  6. Step 6: Final answer
    x = 3,842.38

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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.