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Finding the Fourth Proportional to 4,801.16, 7,202.28 and 1,338.68

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Solution

The fourth proportional to 4,801.16, 7,202.28 and 1,338.68 is: 2,008.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.16 : 7,202.28 = 1,338.68 : x
  2. Step 2: Convert to fraction form
    4,801.16/7,202.28 = 1,338.68/x
  3. Step 3: Cross multiply
    4,801.16x = 7,202.28 × 1,338.68
  4. Step 4: Simplify right side
    4,801.16x = 9,641,548.19
  5. Step 5: Solve for x
    x = 9,641,548.19/4,801.16
  6. Step 6: Final answer
    x = 2,008.17

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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.