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Finding the Fourth Proportional to 5,488.64, 8,232.96 and 3,194.88

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Solution

The fourth proportional to 5,488.64, 8,232.96 and 3,194.88 is: 4,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.64 : 8,232.96 = 3,194.88 : x
  2. Step 2: Convert to fraction form
    5,488.64/8,232.96 = 3,194.88/x
  3. Step 3: Cross multiply
    5,488.64x = 8,232.96 × 3,194.88
  4. Step 4: Simplify right side
    5,488.64x = 26,303,319.24
  5. Step 5: Solve for x
    x = 26,303,319.24/5,488.64
  6. Step 6: Final answer
    x = 4,792.32

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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.