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Finding the Fourth Proportional to 4,797.23, 6,617.80 and 4,132.92

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Solution

The fourth proportional to 4,797.23, 6,617.80 and 4,132.92 is: 5,701.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.23 : 6,617.80 = 4,132.92 : x
  2. Step 2: Convert to fraction form
    4,797.23/6,617.80 = 4,132.92/x
  3. Step 3: Cross multiply
    4,797.23x = 6,617.80 × 4,132.92
  4. Step 4: Simplify right side
    4,797.23x = 27,350,867.96
  5. Step 5: Solve for x
    x = 27,350,867.96/4,797.23
  6. Step 6: Final answer
    x = 5,701.39

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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.