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Finding the Fourth Proportional to 4,771.53, 6,581.38 and 4,610.97

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Solution

The fourth proportional to 4,771.53, 6,581.38 and 4,610.97 is: 6,359.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.53 : 6,581.38 = 4,610.97 : x
  2. Step 2: Convert to fraction form
    4,771.53/6,581.38 = 4,610.97/x
  3. Step 3: Cross multiply
    4,771.53x = 6,581.38 × 4,610.97
  4. Step 4: Simplify right side
    4,771.53x = 30,346,545.74
  5. Step 5: Solve for x
    x = 30,346,545.74/4,771.53
  6. Step 6: Final answer
    x = 6,359.92

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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.