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Finding the Fourth Proportional to 3,630.64, 5,012.40 and 2,304.40

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Solution

The fourth proportional to 3,630.64, 5,012.40 and 2,304.40 is: 3,181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.64 : 5,012.40 = 2,304.40 : x
  2. Step 2: Convert to fraction form
    3,630.64/5,012.40 = 2,304.40/x
  3. Step 3: Cross multiply
    3,630.64x = 5,012.40 × 2,304.40
  4. Step 4: Simplify right side
    3,630.64x = 11,550,574.56
  5. Step 5: Solve for x
    x = 11,550,574.56/3,630.64
  6. Step 6: Final answer
    x = 3,181.42

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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.