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Finding the Fourth Proportional to 3,476.53, 5,213.95 and 1,010.68

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Solution

The fourth proportional to 3,476.53, 5,213.95 and 1,010.68 is: 1,515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.53 : 5,213.95 = 1,010.68 : x
  2. Step 2: Convert to fraction form
    3,476.53/5,213.95 = 1,010.68/x
  3. Step 3: Cross multiply
    3,476.53x = 5,213.95 × 1,010.68
  4. Step 4: Simplify right side
    3,476.53x = 5,269,634.99
  5. Step 5: Solve for x
    x = 5,269,634.99/3,476.53
  6. Step 6: Final answer
    x = 1,515.77

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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.