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Finding the Fourth Proportional to 4,948.36, 7,424.71 and 4,290.90

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Solution

The fourth proportional to 4,948.36, 7,424.71 and 4,290.90 is: 6,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.36 : 7,424.71 = 4,290.90 : x
  2. Step 2: Convert to fraction form
    4,948.36/7,424.71 = 4,290.90/x
  3. Step 3: Cross multiply
    4,948.36x = 7,424.71 × 4,290.90
  4. Step 4: Simplify right side
    4,948.36x = 31,858,629.56
  5. Step 5: Solve for x
    x = 31,858,629.56/4,948.36
  6. Step 6: Final answer
    x = 6,438.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.