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Finding the Fourth Proportional to 4,140.69, 6,200.46 and 2,289.78

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Solution

The fourth proportional to 4,140.69, 6,200.46 and 2,289.78 is: 3,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.69 : 6,200.46 = 2,289.78 : x
  2. Step 2: Convert to fraction form
    4,140.69/6,200.46 = 2,289.78/x
  3. Step 3: Cross multiply
    4,140.69x = 6,200.46 × 2,289.78
  4. Step 4: Simplify right side
    4,140.69x = 14,197,689.30
  5. Step 5: Solve for x
    x = 14,197,689.30/4,140.69
  6. Step 6: Final answer
    x = 3,428.82

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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.