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Finding the Fourth Proportional to 5,542.40, 7,648.40 and 3,184.48

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Solution

The fourth proportional to 5,542.40, 7,648.40 and 3,184.48 is: 4,394.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.40 : 7,648.40 = 3,184.48 : x
  2. Step 2: Convert to fraction form
    5,542.40/7,648.40 = 3,184.48/x
  3. Step 3: Cross multiply
    5,542.40x = 7,648.40 × 3,184.48
  4. Step 4: Simplify right side
    5,542.40x = 24,356,176.83
  5. Step 5: Solve for x
    x = 24,356,176.83/5,542.40
  6. Step 6: Final answer
    x = 4,394.52

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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.