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Finding the Fourth Proportional to 3,767.80, 5,200.71 and 2,441.50

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Solution

The fourth proportional to 3,767.80, 5,200.71 and 2,441.50 is: 3,370.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.80 : 5,200.71 = 2,441.50 : x
  2. Step 2: Convert to fraction form
    3,767.80/5,200.71 = 2,441.50/x
  3. Step 3: Cross multiply
    3,767.80x = 5,200.71 × 2,441.50
  4. Step 4: Simplify right side
    3,767.80x = 12,697,533.47
  5. Step 5: Solve for x
    x = 12,697,533.47/3,767.80
  6. Step 6: Final answer
    x = 3,370.01

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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.