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Finding the Fourth Proportional to 3,733.29, 5,151.95 and 2,077.29

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Solution

The fourth proportional to 3,733.29, 5,151.95 and 2,077.29 is: 2,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.29 : 5,151.95 = 2,077.29 : x
  2. Step 2: Convert to fraction form
    3,733.29/5,151.95 = 2,077.29/x
  3. Step 3: Cross multiply
    3,733.29x = 5,151.95 × 2,077.29
  4. Step 4: Simplify right side
    3,733.29x = 10,702,083.83
  5. Step 5: Solve for x
    x = 10,702,083.83/3,733.29
  6. Step 6: Final answer
    x = 2,866.66

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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.