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Finding the Fourth Proportional to 3,718.84, 5,578.32 and 1,121.76

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Solution

The fourth proportional to 3,718.84, 5,578.32 and 1,121.76 is: 1,682.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.84 : 5,578.32 = 1,121.76 : x
  2. Step 2: Convert to fraction form
    3,718.84/5,578.32 = 1,121.76/x
  3. Step 3: Cross multiply
    3,718.84x = 5,578.32 × 1,121.76
  4. Step 4: Simplify right side
    3,718.84x = 6,257,536.24
  5. Step 5: Solve for x
    x = 6,257,536.24/3,718.84
  6. Step 6: Final answer
    x = 1,682.66

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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.