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Finding the Fourth Proportional to 5,265.28, 7,268.16 and 3,169

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Solution

The fourth proportional to 5,265.28, 7,268.16 and 3,169 is: 4,374.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.28 : 7,268.16 = 3,169 : x
  2. Step 2: Convert to fraction form
    5,265.28/7,268.16 = 3,169/x
  3. Step 3: Cross multiply
    5,265.28x = 7,268.16 × 3,169
  4. Step 4: Simplify right side
    5,265.28x = 23,032,799.04
  5. Step 5: Solve for x
    x = 23,032,799.04/5,265.28
  6. Step 6: Final answer
    x = 4,374.47

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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.