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Finding the Fourth Proportional to 3,609.96, 5,413 and 1,854.24

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Solution

The fourth proportional to 3,609.96, 5,413 and 1,854.24 is: 2,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.96 : 5,413 = 1,854.24 : x
  2. Step 2: Convert to fraction form
    3,609.96/5,413 = 1,854.24/x
  3. Step 3: Cross multiply
    3,609.96x = 5,413 × 1,854.24
  4. Step 4: Simplify right side
    3,609.96x = 10,037,001.12
  5. Step 5: Solve for x
    x = 10,037,001.12/3,609.96
  6. Step 6: Final answer
    x = 2,780.36

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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.