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Finding the Fourth Proportional to 3,348.26, 5,024.70 and 1,156.99

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Solution

The fourth proportional to 3,348.26, 5,024.70 and 1,156.99 is: 1,736.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,348.26 : 5,024.70 = 1,156.99 : x
  2. Step 2: Convert to fraction form
    3,348.26/5,024.70 = 1,156.99/x
  3. Step 3: Cross multiply
    3,348.26x = 5,024.70 × 1,156.99
  4. Step 4: Simplify right side
    3,348.26x = 5,813,527.65
  5. Step 5: Solve for x
    x = 5,813,527.65/3,348.26
  6. Step 6: Final answer
    x = 1,736.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.