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Finding the Fourth Proportional to 3,476.76, 5,214.87 and 1,011.60

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Solution

The fourth proportional to 3,476.76, 5,214.87 and 1,011.60 is: 1,517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.76 : 5,214.87 = 1,011.60 : x
  2. Step 2: Convert to fraction form
    3,476.76/5,214.87 = 1,011.60/x
  3. Step 3: Cross multiply
    3,476.76x = 5,214.87 × 1,011.60
  4. Step 4: Simplify right side
    3,476.76x = 5,275,362.49
  5. Step 5: Solve for x
    x = 5,275,362.49/3,476.76
  6. Step 6: Final answer
    x = 1,517.32

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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.