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Finding the Fourth Proportional to 3,569.69, 5,351.85 and 1,103.06

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Solution

The fourth proportional to 3,569.69, 5,351.85 and 1,103.06 is: 1,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.69 : 5,351.85 = 1,103.06 : x
  2. Step 2: Convert to fraction form
    3,569.69/5,351.85 = 1,103.06/x
  3. Step 3: Cross multiply
    3,569.69x = 5,351.85 × 1,103.06
  4. Step 4: Simplify right side
    3,569.69x = 5,903,384.90
  5. Step 5: Solve for x
    x = 5,903,384.90/3,569.69
  6. Step 6: Final answer
    x = 1,653.76

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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.