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Finding the Fourth Proportional to 3,475.61, 5,213.92 and 1,010.11

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Solution

The fourth proportional to 3,475.61, 5,213.92 and 1,010.11 is: 1,515.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.61 : 5,213.92 = 1,010.11 : x
  2. Step 2: Convert to fraction form
    3,475.61/5,213.92 = 1,010.11/x
  3. Step 3: Cross multiply
    3,475.61x = 5,213.92 × 1,010.11
  4. Step 4: Simplify right side
    3,475.61x = 5,266,606.66
  5. Step 5: Solve for x
    x = 5,266,606.66/3,475.61
  6. Step 6: Final answer
    x = 1,515.31

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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.