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Finding the Fourth Proportional to 5,842.24, 8,766.60 and 5,401.60

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Solution

The fourth proportional to 5,842.24, 8,766.60 and 5,401.60 is: 8,105.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.24 : 8,766.60 = 5,401.60 : x
  2. Step 2: Convert to fraction form
    5,842.24/8,766.60 = 5,401.60/x
  3. Step 3: Cross multiply
    5,842.24x = 8,766.60 × 5,401.60
  4. Step 4: Simplify right side
    5,842.24x = 47,353,666.56
  5. Step 5: Solve for x
    x = 47,353,666.56/5,842.24
  6. Step 6: Final answer
    x = 8,105.40

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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.