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Finding the Fourth Proportional to 4,194.95, 5,787.39 and 2,401.47

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Solution

The fourth proportional to 4,194.95, 5,787.39 and 2,401.47 is: 3,313.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.95 : 5,787.39 = 2,401.47 : x
  2. Step 2: Convert to fraction form
    4,194.95/5,787.39 = 2,401.47/x
  3. Step 3: Cross multiply
    4,194.95x = 5,787.39 × 2,401.47
  4. Step 4: Simplify right side
    4,194.95x = 13,898,243.46
  5. Step 5: Solve for x
    x = 13,898,243.46/4,194.95
  6. Step 6: Final answer
    x = 3,313.09

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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.