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Finding the Fourth Proportional to 4,776.75, 7,151.22 and 3,549.60

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Solution

The fourth proportional to 4,776.75, 7,151.22 and 3,549.60 is: 5,314.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.75 : 7,151.22 = 3,549.60 : x
  2. Step 2: Convert to fraction form
    4,776.75/7,151.22 = 3,549.60/x
  3. Step 3: Cross multiply
    4,776.75x = 7,151.22 × 3,549.60
  4. Step 4: Simplify right side
    4,776.75x = 25,383,970.51
  5. Step 5: Solve for x
    x = 25,383,970.51/4,776.75
  6. Step 6: Final answer
    x = 5,314.07

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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.