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Finding the Fourth Proportional to 5,630.75, 7,772.26 and 3,534.88

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Solution

The fourth proportional to 5,630.75, 7,772.26 and 3,534.88 is: 4,879.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.75 : 7,772.26 = 3,534.88 : x
  2. Step 2: Convert to fraction form
    5,630.75/7,772.26 = 3,534.88/x
  3. Step 3: Cross multiply
    5,630.75x = 7,772.26 × 3,534.88
  4. Step 4: Simplify right side
    5,630.75x = 27,473,967.57
  5. Step 5: Solve for x
    x = 27,473,967.57/5,630.75
  6. Step 6: Final answer
    x = 4,879.27

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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.