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Finding the Fourth Proportional to 5,036.42, 6,948.60 and 3,046.22

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Solution

The fourth proportional to 5,036.42, 6,948.60 and 3,046.22 is: 4,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,036.42 : 6,948.60 = 3,046.22 : x
  2. Step 2: Convert to fraction form
    5,036.42/6,948.60 = 3,046.22/x
  3. Step 3: Cross multiply
    5,036.42x = 6,948.60 × 3,046.22
  4. Step 4: Simplify right side
    5,036.42x = 21,166,964.29
  5. Step 5: Solve for x
    x = 21,166,964.29/5,036.42
  6. Step 6: Final answer
    x = 4,202.78

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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.