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Finding the Fourth Proportional to 3,491.07, 5,232.50 and 1,408.29

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Solution

The fourth proportional to 3,491.07, 5,232.50 and 1,408.29 is: 2,110.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.07 : 5,232.50 = 1,408.29 : x
  2. Step 2: Convert to fraction form
    3,491.07/5,232.50 = 1,408.29/x
  3. Step 3: Cross multiply
    3,491.07x = 5,232.50 × 1,408.29
  4. Step 4: Simplify right side
    3,491.07x = 7,368,870.38
  5. Step 5: Solve for x
    x = 7,368,870.38/3,491.07
  6. Step 6: Final answer
    x = 2,110.78

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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.