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Finding the Fourth Proportional to 5,494.67, 7,582.48 and 3,225.97

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Solution

The fourth proportional to 5,494.67, 7,582.48 and 3,225.97 is: 4,451.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.67 : 7,582.48 = 3,225.97 : x
  2. Step 2: Convert to fraction form
    5,494.67/7,582.48 = 3,225.97/x
  3. Step 3: Cross multiply
    5,494.67x = 7,582.48 × 3,225.97
  4. Step 4: Simplify right side
    5,494.67x = 24,460,853.01
  5. Step 5: Solve for x
    x = 24,460,853.01/5,494.67
  6. Step 6: Final answer
    x = 4,451.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.