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Finding the Fourth Proportional to 3,715.96, 5,574.78 and 1,867.96

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Solution

The fourth proportional to 3,715.96, 5,574.78 and 1,867.96 is: 2,802.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715.96 : 5,574.78 = 1,867.96 : x
  2. Step 2: Convert to fraction form
    3,715.96/5,574.78 = 1,867.96/x
  3. Step 3: Cross multiply
    3,715.96x = 5,574.78 × 1,867.96
  4. Step 4: Simplify right side
    3,715.96x = 10,413,466.05
  5. Step 5: Solve for x
    x = 10,413,466.05/3,715.96
  6. Step 6: Final answer
    x = 2,802.36

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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.