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Finding the Fourth Proportional to 3,853.62, 5,779.62 and 1,663.38

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Solution

The fourth proportional to 3,853.62, 5,779.62 and 1,663.38 is: 2,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.62 : 5,779.62 = 1,663.38 : x
  2. Step 2: Convert to fraction form
    3,853.62/5,779.62 = 1,663.38/x
  3. Step 3: Cross multiply
    3,853.62x = 5,779.62 × 1,663.38
  4. Step 4: Simplify right side
    3,853.62x = 9,613,704.32
  5. Step 5: Solve for x
    x = 9,613,704.32/3,853.62
  6. Step 6: Final answer
    x = 2,494.72

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1.5x scale

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.