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Finding the Fourth Proportional to 4,774.93, 6,589.80 and 2,785.61

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Solution

The fourth proportional to 4,774.93, 6,589.80 and 2,785.61 is: 3,844.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,774.93 : 6,589.80 = 2,785.61 : x
  2. Step 2: Convert to fraction form
    4,774.93/6,589.80 = 2,785.61/x
  3. Step 3: Cross multiply
    4,774.93x = 6,589.80 × 2,785.61
  4. Step 4: Simplify right side
    4,774.93x = 18,356,629.25
  5. Step 5: Solve for x
    x = 18,356,629.25/4,774.93
  6. Step 6: Final answer
    x = 3,844.38

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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.