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Finding the Fourth Proportional to 3,848.15, 5,767.43 and 1,654.34

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Solution

The fourth proportional to 3,848.15, 5,767.43 and 1,654.34 is: 2,479.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.15 : 5,767.43 = 1,654.34 : x
  2. Step 2: Convert to fraction form
    3,848.15/5,767.43 = 1,654.34/x
  3. Step 3: Cross multiply
    3,848.15x = 5,767.43 × 1,654.34
  4. Step 4: Simplify right side
    3,848.15x = 9,541,253.04
  5. Step 5: Solve for x
    x = 9,541,253.04/3,848.15
  6. Step 6: Final answer
    x = 2,479.44

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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.