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Finding the Fourth Proportional to 5,492.62, 7,578.44 and 3,254.38

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Solution

The fourth proportional to 5,492.62, 7,578.44 and 3,254.38 is: 4,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.62 : 7,578.44 = 3,254.38 : x
  2. Step 2: Convert to fraction form
    5,492.62/7,578.44 = 3,254.38/x
  3. Step 3: Cross multiply
    5,492.62x = 7,578.44 × 3,254.38
  4. Step 4: Simplify right side
    5,492.62x = 24,663,123.57
  5. Step 5: Solve for x
    x = 24,663,123.57/5,492.62
  6. Step 6: Final answer
    x = 4,490.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.