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Finding the Fourth Proportional to 4,194.84, 6,289.51 and 2,346.15

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Solution

The fourth proportional to 4,194.84, 6,289.51 and 2,346.15 is: 3,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,194.84 : 6,289.51 = 2,346.15 : x
  2. Step 2: Convert to fraction form
    4,194.84/6,289.51 = 2,346.15/x
  3. Step 3: Cross multiply
    4,194.84x = 6,289.51 × 2,346.15
  4. Step 4: Simplify right side
    4,194.84x = 14,756,133.89
  5. Step 5: Solve for x
    x = 14,756,133.89/4,194.84
  6. Step 6: Final answer
    x = 3,517.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.