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Finding the Fourth Proportional to 4,061.70, 6,078.15 and 2,823.30

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Solution

The fourth proportional to 4,061.70, 6,078.15 and 2,823.30 is: 4,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,061.70 : 6,078.15 = 2,823.30 : x
  2. Step 2: Convert to fraction form
    4,061.70/6,078.15 = 2,823.30/x
  3. Step 3: Cross multiply
    4,061.70x = 6,078.15 × 2,823.30
  4. Step 4: Simplify right side
    4,061.70x = 17,160,440.90
  5. Step 5: Solve for x
    x = 17,160,440.90/4,061.70
  6. Step 6: Final answer
    x = 4,224.94

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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.