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Finding the Fourth Proportional to 5,769.66, 8,632.02 and 4,387

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Solution

The fourth proportional to 5,769.66, 8,632.02 and 4,387 is: 6,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.66 : 8,632.02 = 4,387 : x
  2. Step 2: Convert to fraction form
    5,769.66/8,632.02 = 4,387/x
  3. Step 3: Cross multiply
    5,769.66x = 8,632.02 × 4,387
  4. Step 4: Simplify right side
    5,769.66x = 37,868,671.74
  5. Step 5: Solve for x
    x = 37,868,671.74/5,769.66
  6. Step 6: Final answer
    x = 6,563.41

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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.