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Finding the Fourth Proportional to 5,774.08, 8,623.20 and 5,713.60

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Solution

The fourth proportional to 5,774.08, 8,623.20 and 5,713.60 is: 8,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.08 : 8,623.20 = 5,713.60 : x
  2. Step 2: Convert to fraction form
    5,774.08/8,623.20 = 5,713.60/x
  3. Step 3: Cross multiply
    5,774.08x = 8,623.20 × 5,713.60
  4. Step 4: Simplify right side
    5,774.08x = 49,269,515.52
  5. Step 5: Solve for x
    x = 49,269,515.52/5,774.08
  6. Step 6: Final answer
    x = 8,532.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.