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Finding the Fourth Proportional to 3,492.42, 5,239.22 and 1,737.52

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Solution

The fourth proportional to 3,492.42, 5,239.22 and 1,737.52 is: 2,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.42 : 5,239.22 = 1,737.52 : x
  2. Step 2: Convert to fraction form
    3,492.42/5,239.22 = 1,737.52/x
  3. Step 3: Cross multiply
    3,492.42x = 5,239.22 × 1,737.52
  4. Step 4: Simplify right side
    3,492.42x = 9,103,227.75
  5. Step 5: Solve for x
    x = 9,103,227.75/3,492.42
  6. Step 6: Final answer
    x = 2,606.57

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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.