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Finding the Fourth Proportional to 3,989.91, 5,509.31 and 3,569.52

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Solution

The fourth proportional to 3,989.91, 5,509.31 and 3,569.52 is: 4,928.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.91 : 5,509.31 = 3,569.52 : x
  2. Step 2: Convert to fraction form
    3,989.91/5,509.31 = 3,569.52/x
  3. Step 3: Cross multiply
    3,989.91x = 5,509.31 × 3,569.52
  4. Step 4: Simplify right side
    3,989.91x = 19,665,574.38
  5. Step 5: Solve for x
    x = 19,665,574.38/3,989.91
  6. Step 6: Final answer
    x = 4,928.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.