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Finding the Fourth Proportional to 3,854.52, 5,783.70 and 1,663.80

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Solution

The fourth proportional to 3,854.52, 5,783.70 and 1,663.80 is: 2,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.52 : 5,783.70 = 1,663.80 : x
  2. Step 2: Convert to fraction form
    3,854.52/5,783.70 = 1,663.80/x
  3. Step 3: Cross multiply
    3,854.52x = 5,783.70 × 1,663.80
  4. Step 4: Simplify right side
    3,854.52x = 9,622,920.06
  5. Step 5: Solve for x
    x = 9,622,920.06/3,854.52
  6. Step 6: Final answer
    x = 2,496.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.