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Finding the Fourth Proportional to 4,797.77, 7,187.89 and 3,478.25

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Solution

The fourth proportional to 4,797.77, 7,187.89 and 3,478.25 is: 5,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.77 : 7,187.89 = 3,478.25 : x
  2. Step 2: Convert to fraction form
    4,797.77/7,187.89 = 3,478.25/x
  3. Step 3: Cross multiply
    4,797.77x = 7,187.89 × 3,478.25
  4. Step 4: Simplify right side
    4,797.77x = 25,001,287.67
  5. Step 5: Solve for x
    x = 25,001,287.67/4,797.77
  6. Step 6: Final answer
    x = 5,211.02

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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.