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Finding the Fourth Proportional to 3,585.92, 5,376.24 and 1,119.36

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Solution

The fourth proportional to 3,585.92, 5,376.24 and 1,119.36 is: 1,678.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.92 : 5,376.24 = 1,119.36 : x
  2. Step 2: Convert to fraction form
    3,585.92/5,376.24 = 1,119.36/x
  3. Step 3: Cross multiply
    3,585.92x = 5,376.24 × 1,119.36
  4. Step 4: Simplify right side
    3,585.92x = 6,017,948.01
  5. Step 5: Solve for x
    x = 6,017,948.01/3,585.92
  6. Step 6: Final answer
    x = 1,678.22

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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.