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Finding the Fourth Proportional to 3,578.92, 5,369.14 and 1,113.68

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Solution

The fourth proportional to 3,578.92, 5,369.14 and 1,113.68 is: 1,670.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.92 : 5,369.14 = 1,113.68 : x
  2. Step 2: Convert to fraction form
    3,578.92/5,369.14 = 1,113.68/x
  3. Step 3: Cross multiply
    3,578.92x = 5,369.14 × 1,113.68
  4. Step 4: Simplify right side
    3,578.92x = 5,979,503.84
  5. Step 5: Solve for x
    x = 5,979,503.84/3,578.92
  6. Step 6: Final answer
    x = 1,670.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.