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Finding the Fourth Proportional to 3,854.30, 5,782.80 and 1,663.70

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Solution

The fourth proportional to 3,854.30, 5,782.80 and 1,663.70 is: 2,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.30 : 5,782.80 = 1,663.70 : x
  2. Step 2: Convert to fraction form
    3,854.30/5,782.80 = 1,663.70/x
  3. Step 3: Cross multiply
    3,854.30x = 5,782.80 × 1,663.70
  4. Step 4: Simplify right side
    3,854.30x = 9,620,844.36
  5. Step 5: Solve for x
    x = 9,620,844.36/3,854.30
  6. Step 6: Final answer
    x = 2,496.13

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