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Finding the Fourth Proportional to 3,492.88, 5,240.22 and 1,153.24

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Solution

The fourth proportional to 3,492.88, 5,240.22 and 1,153.24 is: 1,730.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.88 : 5,240.22 = 1,153.24 : x
  2. Step 2: Convert to fraction form
    3,492.88/5,240.22 = 1,153.24/x
  3. Step 3: Cross multiply
    3,492.88x = 5,240.22 × 1,153.24
  4. Step 4: Simplify right side
    3,492.88x = 6,043,231.31
  5. Step 5: Solve for x
    x = 6,043,231.31/3,492.88
  6. Step 6: Final answer
    x = 1,730.16

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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.