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Finding the Fourth Proportional to 5,753.65, 8,623.41 and 2,978.74

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Solution

The fourth proportional to 5,753.65, 8,623.41 and 2,978.74 is: 4,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,753.65 : 8,623.41 = 2,978.74 : x
  2. Step 2: Convert to fraction form
    5,753.65/8,623.41 = 2,978.74/x
  3. Step 3: Cross multiply
    5,753.65x = 8,623.41 × 2,978.74
  4. Step 4: Simplify right side
    5,753.65x = 25,686,912.67
  5. Step 5: Solve for x
    x = 25,686,912.67/5,753.65
  6. Step 6: Final answer
    x = 4,464.46

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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.