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Finding the Fourth Proportional to 3,497.94, 5,243.58 and 1,647.81

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Solution

The fourth proportional to 3,497.94, 5,243.58 and 1,647.81 is: 2,470.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.94 : 5,243.58 = 1,647.81 : x
  2. Step 2: Convert to fraction form
    3,497.94/5,243.58 = 1,647.81/x
  3. Step 3: Cross multiply
    3,497.94x = 5,243.58 × 1,647.81
  4. Step 4: Simplify right side
    3,497.94x = 8,640,423.56
  5. Step 5: Solve for x
    x = 8,640,423.56/3,497.94
  6. Step 6: Final answer
    x = 2,470.15

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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.