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Finding the Fourth Proportional to 3,206.70, 4,802.76 and 2,509.02

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Solution

The fourth proportional to 3,206.70, 4,802.76 and 2,509.02 is: 3,757.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.70 : 4,802.76 = 2,509.02 : x
  2. Step 2: Convert to fraction form
    3,206.70/4,802.76 = 2,509.02/x
  3. Step 3: Cross multiply
    3,206.70x = 4,802.76 × 2,509.02
  4. Step 4: Simplify right side
    3,206.70x = 12,050,220.90
  5. Step 5: Solve for x
    x = 12,050,220.90/3,206.70
  6. Step 6: Final answer
    x = 3,757.83

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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.