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Finding the Fourth Proportional to 5,034.65, 6,947.80 and 3,044.63

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Solution

The fourth proportional to 5,034.65, 6,947.80 and 3,044.63 is: 4,201.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.65 : 6,947.80 = 3,044.63 : x
  2. Step 2: Convert to fraction form
    5,034.65/6,947.80 = 3,044.63/x
  3. Step 3: Cross multiply
    5,034.65x = 6,947.80 × 3,044.63
  4. Step 4: Simplify right side
    5,034.65x = 21,153,490.07
  5. Step 5: Solve for x
    x = 21,153,490.07/5,034.65
  6. Step 6: Final answer
    x = 4,201.59

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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.