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Finding the Fourth Proportional to 5,959.16, 8,223.81 and 3,270.50

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Solution

The fourth proportional to 5,959.16, 8,223.81 and 3,270.50 is: 4,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,959.16 : 8,223.81 = 3,270.50 : x
  2. Step 2: Convert to fraction form
    5,959.16/8,223.81 = 3,270.50/x
  3. Step 3: Cross multiply
    5,959.16x = 8,223.81 × 3,270.50
  4. Step 4: Simplify right side
    5,959.16x = 26,895,970.61
  5. Step 5: Solve for x
    x = 26,895,970.61/5,959.16
  6. Step 6: Final answer
    x = 4,513.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.