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Finding the Fourth Proportional to 3,823.66, 5,275.99 and 2,144.83

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Solution

The fourth proportional to 3,823.66, 5,275.99 and 2,144.83 is: 2,959.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.66 : 5,275.99 = 2,144.83 : x
  2. Step 2: Convert to fraction form
    3,823.66/5,275.99 = 2,144.83/x
  3. Step 3: Cross multiply
    3,823.66x = 5,275.99 × 2,144.83
  4. Step 4: Simplify right side
    3,823.66x = 11,316,088.95
  5. Step 5: Solve for x
    x = 11,316,088.95/3,823.66
  6. Step 6: Final answer
    x = 2,959.49

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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.