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Finding the Fourth Proportional to 5,034.65, 6,948.36 and 3,046.30

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Solution

The fourth proportional to 5,034.65, 6,948.36 and 3,046.30 is: 4,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.65 : 6,948.36 = 3,046.30 : x
  2. Step 2: Convert to fraction form
    5,034.65/6,948.36 = 3,046.30/x
  3. Step 3: Cross multiply
    5,034.65x = 6,948.36 × 3,046.30
  4. Step 4: Simplify right side
    5,034.65x = 21,166,739.09
  5. Step 5: Solve for x
    x = 21,166,739.09/5,034.65
  6. Step 6: Final answer
    x = 4,204.22

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