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Finding the Fourth Proportional to 3,285.80, 4,930.02 and 2,412.74

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Solution

The fourth proportional to 3,285.80, 4,930.02 and 2,412.74 is: 3,620.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.80 : 4,930.02 = 2,412.74 : x
  2. Step 2: Convert to fraction form
    3,285.80/4,930.02 = 2,412.74/x
  3. Step 3: Cross multiply
    3,285.80x = 4,930.02 × 2,412.74
  4. Step 4: Simplify right side
    3,285.80x = 11,894,831.80
  5. Step 5: Solve for x
    x = 11,894,831.80/3,285.80
  6. Step 6: Final answer
    x = 3,620.08

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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.