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Finding the Fourth Proportional to 3,654.49, 5,482.92 and 1,314.48

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Solution

The fourth proportional to 3,654.49, 5,482.92 and 1,314.48 is: 1,972.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.49 : 5,482.92 = 1,314.48 : x
  2. Step 2: Convert to fraction form
    3,654.49/5,482.92 = 1,314.48/x
  3. Step 3: Cross multiply
    3,654.49x = 5,482.92 × 1,314.48
  4. Step 4: Simplify right side
    3,654.49x = 7,207,172.24
  5. Step 5: Solve for x
    x = 7,207,172.24/3,654.49
  6. Step 6: Final answer
    x = 1,972.14

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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.