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Finding the Fourth Proportional to 4,747.81, 6,552 and 2,623.31

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Solution

The fourth proportional to 4,747.81, 6,552 and 2,623.31 is: 3,620.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.81 : 6,552 = 2,623.31 : x
  2. Step 2: Convert to fraction form
    4,747.81/6,552 = 2,623.31/x
  3. Step 3: Cross multiply
    4,747.81x = 6,552 × 2,623.31
  4. Step 4: Simplify right side
    4,747.81x = 17,187,927.12
  5. Step 5: Solve for x
    x = 17,187,927.12/4,747.81
  6. Step 6: Final answer
    x = 3,620.18

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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.