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Finding the Fourth Proportional to 5,739.60, 7,922.16 and 3,382.50

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Solution

The fourth proportional to 5,739.60, 7,922.16 and 3,382.50 is: 4,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.60 : 7,922.16 = 3,382.50 : x
  2. Step 2: Convert to fraction form
    5,739.60/7,922.16 = 3,382.50/x
  3. Step 3: Cross multiply
    5,739.60x = 7,922.16 × 3,382.50
  4. Step 4: Simplify right side
    5,739.60x = 26,796,706.20
  5. Step 5: Solve for x
    x = 26,796,706.20/5,739.60
  6. Step 6: Final answer
    x = 4,668.74

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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.