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Finding the Fourth Proportional to 3,569.86, 4,926.19 and 1,976.41

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Solution

The fourth proportional to 3,569.86, 4,926.19 and 1,976.41 is: 2,727.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.86 : 4,926.19 = 1,976.41 : x
  2. Step 2: Convert to fraction form
    3,569.86/4,926.19 = 1,976.41/x
  3. Step 3: Cross multiply
    3,569.86x = 4,926.19 × 1,976.41
  4. Step 4: Simplify right side
    3,569.86x = 9,736,171.18
  5. Step 5: Solve for x
    x = 9,736,171.18/3,569.86
  6. Step 6: Final answer
    x = 2,727.33

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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.