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Finding the Fourth Proportional to 4,767.68, 6,580.88 and 3,000.80

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Solution

The fourth proportional to 4,767.68, 6,580.88 and 3,000.80 is: 4,142.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.68 : 6,580.88 = 3,000.80 : x
  2. Step 2: Convert to fraction form
    4,767.68/6,580.88 = 3,000.80/x
  3. Step 3: Cross multiply
    4,767.68x = 6,580.88 × 3,000.80
  4. Step 4: Simplify right side
    4,767.68x = 19,747,904.70
  5. Step 5: Solve for x
    x = 19,747,904.70/4,767.68
  6. Step 6: Final answer
    x = 4,142.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.