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Finding the Fourth Proportional to 3,476.02, 5,213.50 and 1,010.33

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Solution

The fourth proportional to 3,476.02, 5,213.50 and 1,010.33 is: 1,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.02 : 5,213.50 = 1,010.33 : x
  2. Step 2: Convert to fraction form
    3,476.02/5,213.50 = 1,010.33/x
  3. Step 3: Cross multiply
    3,476.02x = 5,213.50 × 1,010.33
  4. Step 4: Simplify right side
    3,476.02x = 5,267,355.46
  5. Step 5: Solve for x
    x = 5,267,355.46/3,476.02
  6. Step 6: Final answer
    x = 1,515.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.