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Finding the Fourth Proportional to 5,846.48, 8,769.72 and 2,558

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Solution

The fourth proportional to 5,846.48, 8,769.72 and 2,558 is: 3,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.48 : 8,769.72 = 2,558 : x
  2. Step 2: Convert to fraction form
    5,846.48/8,769.72 = 2,558/x
  3. Step 3: Cross multiply
    5,846.48x = 8,769.72 × 2,558
  4. Step 4: Simplify right side
    5,846.48x = 22,432,943.76
  5. Step 5: Solve for x
    x = 22,432,943.76/5,846.48
  6. Step 6: Final answer
    x = 3,837

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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.