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Finding the Fourth Proportional to 3,411.14, 4,707.73 and 2,085.73

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Solution

The fourth proportional to 3,411.14, 4,707.73 and 2,085.73 is: 2,878.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.14 : 4,707.73 = 2,085.73 : x
  2. Step 2: Convert to fraction form
    3,411.14/4,707.73 = 2,085.73/x
  3. Step 3: Cross multiply
    3,411.14x = 4,707.73 × 2,085.73
  4. Step 4: Simplify right side
    3,411.14x = 9,819,053.69
  5. Step 5: Solve for x
    x = 9,819,053.69/3,411.14
  6. Step 6: Final answer
    x = 2,878.53

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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.