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Finding the Fourth Proportional to 5,876.48, 8,822.23 and 5,048.84

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Solution

The fourth proportional to 5,876.48, 8,822.23 and 5,048.84 is: 7,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.48 : 8,822.23 = 5,048.84 : x
  2. Step 2: Convert to fraction form
    5,876.48/8,822.23 = 5,048.84/x
  3. Step 3: Cross multiply
    5,876.48x = 8,822.23 × 5,048.84
  4. Step 4: Simplify right side
    5,876.48x = 44,541,970.98
  5. Step 5: Solve for x
    x = 44,541,970.98/5,876.48
  6. Step 6: Final answer
    x = 7,579.71

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1.5x scale

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.