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Finding the Fourth Proportional to 4,764.38, 6,576.26 and 3,348.47

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Solution

The fourth proportional to 4,764.38, 6,576.26 and 3,348.47 is: 4,621.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.38 : 6,576.26 = 3,348.47 : x
  2. Step 2: Convert to fraction form
    4,764.38/6,576.26 = 3,348.47/x
  3. Step 3: Cross multiply
    4,764.38x = 6,576.26 × 3,348.47
  4. Step 4: Simplify right side
    4,764.38x = 22,020,409.02
  5. Step 5: Solve for x
    x = 22,020,409.02/4,764.38
  6. Step 6: Final answer
    x = 4,621.89

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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.