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Finding the Fourth Proportional to 4,294.54, 5,938.40 and 3,408.81

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Solution

The fourth proportional to 4,294.54, 5,938.40 and 3,408.81 is: 4,713.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.54 : 5,938.40 = 3,408.81 : x
  2. Step 2: Convert to fraction form
    4,294.54/5,938.40 = 3,408.81/x
  3. Step 3: Cross multiply
    4,294.54x = 5,938.40 × 3,408.81
  4. Step 4: Simplify right side
    4,294.54x = 20,242,830.57
  5. Step 5: Solve for x
    x = 20,242,830.57/4,294.54
  6. Step 6: Final answer
    x = 4,713.62

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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.