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Finding the Fourth Proportional to 5,472.25, 8,203.06 and 4,358.95

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Solution

The fourth proportional to 5,472.25, 8,203.06 and 4,358.95 is: 6,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.25 : 8,203.06 = 4,358.95 : x
  2. Step 2: Convert to fraction form
    5,472.25/8,203.06 = 4,358.95/x
  3. Step 3: Cross multiply
    5,472.25x = 8,203.06 × 4,358.95
  4. Step 4: Simplify right side
    5,472.25x = 35,756,728.39
  5. Step 5: Solve for x
    x = 35,756,728.39/5,472.25
  6. Step 6: Final answer
    x = 6,534.19

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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.