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Finding the Fourth Proportional to 5,402.51, 7,456.04 and 3,166.26

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Solution

The fourth proportional to 5,402.51, 7,456.04 and 3,166.26 is: 4,369.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.51 : 7,456.04 = 3,166.26 : x
  2. Step 2: Convert to fraction form
    5,402.51/7,456.04 = 3,166.26/x
  3. Step 3: Cross multiply
    5,402.51x = 7,456.04 × 3,166.26
  4. Step 4: Simplify right side
    5,402.51x = 23,607,787.75
  5. Step 5: Solve for x
    x = 23,607,787.75/5,402.51
  6. Step 6: Final answer
    x = 4,369.78

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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.