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Finding the Fourth Proportional to 5,436.54, 7,502.17 and 3,046.22

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Solution

The fourth proportional to 5,436.54, 7,502.17 and 3,046.22 is: 4,203.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,436.54 : 7,502.17 = 3,046.22 : x
  2. Step 2: Convert to fraction form
    5,436.54/7,502.17 = 3,046.22/x
  3. Step 3: Cross multiply
    5,436.54x = 7,502.17 × 3,046.22
  4. Step 4: Simplify right side
    5,436.54x = 22,853,259.57
  5. Step 5: Solve for x
    x = 22,853,259.57/5,436.54
  6. Step 6: Final answer
    x = 4,203.64

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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.