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Finding the Fourth Proportional to 5,254.34, 7,884.24 and 3,404.96

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Solution

The fourth proportional to 5,254.34, 7,884.24 and 3,404.96 is: 5,109.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,254.34 : 7,884.24 = 3,404.96 : x
  2. Step 2: Convert to fraction form
    5,254.34/7,884.24 = 3,404.96/x
  3. Step 3: Cross multiply
    5,254.34x = 7,884.24 × 3,404.96
  4. Step 4: Simplify right side
    5,254.34x = 26,845,521.83
  5. Step 5: Solve for x
    x = 26,845,521.83/5,254.34
  6. Step 6: Final answer
    x = 5,109.21

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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.