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Finding the Fourth Proportional to 3,492.92, 5,232.20 and 1,845.99

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Solution

The fourth proportional to 3,492.92, 5,232.20 and 1,845.99 is: 2,765.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.92 : 5,232.20 = 1,845.99 : x
  2. Step 2: Convert to fraction form
    3,492.92/5,232.20 = 1,845.99/x
  3. Step 3: Cross multiply
    3,492.92x = 5,232.20 × 1,845.99
  4. Step 4: Simplify right side
    3,492.92x = 9,658,579.65
  5. Step 5: Solve for x
    x = 9,658,579.65/3,492.92
  6. Step 6: Final answer
    x = 2,765.19

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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.