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Finding the Fourth Proportional to 4,767.37, 7,152.17 and 1,480.30

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Solution

The fourth proportional to 4,767.37, 7,152.17 and 1,480.30 is: 2,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.37 : 7,152.17 = 1,480.30 : x
  2. Step 2: Convert to fraction form
    4,767.37/7,152.17 = 1,480.30/x
  3. Step 3: Cross multiply
    4,767.37x = 7,152.17 × 1,480.30
  4. Step 4: Simplify right side
    4,767.37x = 10,587,357.25
  5. Step 5: Solve for x
    x = 10,587,357.25/4,767.37
  6. Step 6: Final answer
    x = 2,220.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.