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Finding the Fourth Proportional to 5,648.13, 7,789.57 and 3,409.49

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Solution

The fourth proportional to 5,648.13, 7,789.57 and 3,409.49 is: 4,702.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648.13 : 7,789.57 = 3,409.49 : x
  2. Step 2: Convert to fraction form
    5,648.13/7,789.57 = 3,409.49/x
  3. Step 3: Cross multiply
    5,648.13x = 7,789.57 × 3,409.49
  4. Step 4: Simplify right side
    5,648.13x = 26,558,471.97
  5. Step 5: Solve for x
    x = 26,558,471.97/5,648.13
  6. Step 6: Final answer
    x = 4,702.17

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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.