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Finding the Fourth Proportional to 3,389.94, 5,085.36 and 1,049.40

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Solution

The fourth proportional to 3,389.94, 5,085.36 and 1,049.40 is: 1,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.94 : 5,085.36 = 1,049.40 : x
  2. Step 2: Convert to fraction form
    3,389.94/5,085.36 = 1,049.40/x
  3. Step 3: Cross multiply
    3,389.94x = 5,085.36 × 1,049.40
  4. Step 4: Simplify right side
    3,389.94x = 5,336,576.78
  5. Step 5: Solve for x
    x = 5,336,576.78/3,389.94
  6. Step 6: Final answer
    x = 1,574.24

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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.