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Finding the Fourth Proportional to 5,648.96, 8,473.76 and 2,361.44

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Solution

The fourth proportional to 5,648.96, 8,473.76 and 2,361.44 is: 3,542.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.96 : 8,473.76 = 2,361.44 : x
  2. Step 2: Convert to fraction form
    5,648.96/8,473.76 = 2,361.44/x
  3. Step 3: Cross multiply
    5,648.96x = 8,473.76 × 2,361.44
  4. Step 4: Simplify right side
    5,648.96x = 20,010,275.81
  5. Step 5: Solve for x
    x = 20,010,275.81/5,648.96
  6. Step 6: Final answer
    x = 3,542.29

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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.