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Finding the Fourth Proportional to 3,491.86, 4,821.06 and 3,122.50

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Solution

The fourth proportional to 3,491.86, 4,821.06 and 3,122.50 is: 4,311.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.86 : 4,821.06 = 3,122.50 : x
  2. Step 2: Convert to fraction form
    3,491.86/4,821.06 = 3,122.50/x
  3. Step 3: Cross multiply
    3,491.86x = 4,821.06 × 3,122.50
  4. Step 4: Simplify right side
    3,491.86x = 15,053,759.85
  5. Step 5: Solve for x
    x = 15,053,759.85/3,491.86
  6. Step 6: Final answer
    x = 4,311.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.