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Finding the Fourth Proportional to 4,909.95, 6,776.70 and 2,785.52

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Solution

The fourth proportional to 4,909.95, 6,776.70 and 2,785.52 is: 3,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.95 : 6,776.70 = 2,785.52 : x
  2. Step 2: Convert to fraction form
    4,909.95/6,776.70 = 2,785.52/x
  3. Step 3: Cross multiply
    4,909.95x = 6,776.70 × 2,785.52
  4. Step 4: Simplify right side
    4,909.95x = 18,876,633.38
  5. Step 5: Solve for x
    x = 18,876,633.38/4,909.95
  6. Step 6: Final answer
    x = 3,844.57

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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.