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Finding the Fourth Proportional to 5,654.78, 7,803.12 and 3,297.14

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Solution

The fourth proportional to 5,654.78, 7,803.12 and 3,297.14 is: 4,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,654.78 : 7,803.12 = 3,297.14 : x
  2. Step 2: Convert to fraction form
    5,654.78/7,803.12 = 3,297.14/x
  3. Step 3: Cross multiply
    5,654.78x = 7,803.12 × 3,297.14
  4. Step 4: Simplify right side
    5,654.78x = 25,727,979.08
  5. Step 5: Solve for x
    x = 25,727,979.08/5,654.78
  6. Step 6: Final answer
    x = 4,549.78

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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.