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Finding the Fourth Proportional to 4,550.48, 6,827.40 and 1,472.48

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Solution

The fourth proportional to 4,550.48, 6,827.40 and 1,472.48 is: 2,209.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.48 : 6,827.40 = 1,472.48 : x
  2. Step 2: Convert to fraction form
    4,550.48/6,827.40 = 1,472.48/x
  3. Step 3: Cross multiply
    4,550.48x = 6,827.40 × 1,472.48
  4. Step 4: Simplify right side
    4,550.48x = 10,053,209.95
  5. Step 5: Solve for x
    x = 10,053,209.95/4,550.48
  6. Step 6: Final answer
    x = 2,209.26

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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.