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Finding the Fourth Proportional to 5,353.88, 8,029.20 and 1,605.92

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Solution

The fourth proportional to 5,353.88, 8,029.20 and 1,605.92 is: 2,408.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.88 : 8,029.20 = 1,605.92 : x
  2. Step 2: Convert to fraction form
    5,353.88/8,029.20 = 1,605.92/x
  3. Step 3: Cross multiply
    5,353.88x = 8,029.20 × 1,605.92
  4. Step 4: Simplify right side
    5,353.88x = 12,894,252.86
  5. Step 5: Solve for x
    x = 12,894,252.86/5,353.88
  6. Step 6: Final answer
    x = 2,408.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.