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Finding the Fourth Proportional to 5,762.24, 8,626.80 and 4,001.60

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Solution

The fourth proportional to 5,762.24, 8,626.80 and 4,001.60 is: 5,990.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.24 : 8,626.80 = 4,001.60 : x
  2. Step 2: Convert to fraction form
    5,762.24/8,626.80 = 4,001.60/x
  3. Step 3: Cross multiply
    5,762.24x = 8,626.80 × 4,001.60
  4. Step 4: Simplify right side
    5,762.24x = 34,521,002.88
  5. Step 5: Solve for x
    x = 34,521,002.88/5,762.24
  6. Step 6: Final answer
    x = 5,990.90

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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.