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Finding the Fourth Proportional to 5,365.86, 7,408.17 and 4,251.30

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Solution

The fourth proportional to 5,365.86, 7,408.17 and 4,251.30 is: 5,869.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.86 : 7,408.17 = 4,251.30 : x
  2. Step 2: Convert to fraction form
    5,365.86/7,408.17 = 4,251.30/x
  3. Step 3: Cross multiply
    5,365.86x = 7,408.17 × 4,251.30
  4. Step 4: Simplify right side
    5,365.86x = 31,494,353.12
  5. Step 5: Solve for x
    x = 31,494,353.12/5,365.86
  6. Step 6: Final answer
    x = 5,869.40

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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.