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Finding the Fourth Proportional to 4,320.93, 5,972.09 and 3,809.01

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Solution

The fourth proportional to 4,320.93, 5,972.09 and 3,809.01 is: 5,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,320.93 : 5,972.09 = 3,809.01 : x
  2. Step 2: Convert to fraction form
    4,320.93/5,972.09 = 3,809.01/x
  3. Step 3: Cross multiply
    4,320.93x = 5,972.09 × 3,809.01
  4. Step 4: Simplify right side
    4,320.93x = 22,747,731.49
  5. Step 5: Solve for x
    x = 22,747,731.49/4,320.93
  6. Step 6: Final answer
    x = 5,264.55

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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.