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Finding the Fourth Proportional to 4,151.73, 5,726.46 and 2,823.18

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Solution

The fourth proportional to 4,151.73, 5,726.46 and 2,823.18 is: 3,894.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,151.73 : 5,726.46 = 2,823.18 : x
  2. Step 2: Convert to fraction form
    4,151.73/5,726.46 = 2,823.18/x
  3. Step 3: Cross multiply
    4,151.73x = 5,726.46 × 2,823.18
  4. Step 4: Simplify right side
    4,151.73x = 16,166,827.34
  5. Step 5: Solve for x
    x = 16,166,827.34/4,151.73
  6. Step 6: Final answer
    x = 3,894.00

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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.