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Finding the Fourth Proportional to 3,685.44, 5,528.18 and 912.18

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Solution

The fourth proportional to 3,685.44, 5,528.18 and 912.18 is: 1,368.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.44 : 5,528.18 = 912.18 : x
  2. Step 2: Convert to fraction form
    3,685.44/5,528.18 = 912.18/x
  3. Step 3: Cross multiply
    3,685.44x = 5,528.18 × 912.18
  4. Step 4: Simplify right side
    3,685.44x = 5,042,695.23
  5. Step 5: Solve for x
    x = 5,042,695.23/3,685.44
  6. Step 6: Final answer
    x = 1,368.27

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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.