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Finding the Fourth Proportional to 3,459.57, 4,772.85 and 1,946.79

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Solution

The fourth proportional to 3,459.57, 4,772.85 and 1,946.79 is: 2,685.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.57 : 4,772.85 = 1,946.79 : x
  2. Step 2: Convert to fraction form
    3,459.57/4,772.85 = 1,946.79/x
  3. Step 3: Cross multiply
    3,459.57x = 4,772.85 × 1,946.79
  4. Step 4: Simplify right side
    3,459.57x = 9,291,736.65
  5. Step 5: Solve for x
    x = 9,291,736.65/3,459.57
  6. Step 6: Final answer
    x = 2,685.81

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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.