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Finding the Fourth Proportional to 5,492.92, 7,582.26 and 3,721

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Solution

The fourth proportional to 5,492.92, 7,582.26 and 3,721 is: 5,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.92 : 7,582.26 = 3,721 : x
  2. Step 2: Convert to fraction form
    5,492.92/7,582.26 = 3,721/x
  3. Step 3: Cross multiply
    5,492.92x = 7,582.26 × 3,721
  4. Step 4: Simplify right side
    5,492.92x = 28,213,589.46
  5. Step 5: Solve for x
    x = 28,213,589.46/5,492.92
  6. Step 6: Final answer
    x = 5,136.36

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1.5x scale

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.