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Finding the Fourth Proportional to 3,409.92, 4,705.71 and 2,083.41

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Solution

The fourth proportional to 3,409.92, 4,705.71 and 2,083.41 is: 2,875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.92 : 4,705.71 = 2,083.41 : x
  2. Step 2: Convert to fraction form
    3,409.92/4,705.71 = 2,083.41/x
  3. Step 3: Cross multiply
    3,409.92x = 4,705.71 × 2,083.41
  4. Step 4: Simplify right side
    3,409.92x = 9,803,923.27
  5. Step 5: Solve for x
    x = 9,803,923.27/3,409.92
  6. Step 6: Final answer
    x = 2,875.12

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Why These Related Problems?

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