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Finding the Fourth Proportional to 3,493.67, 5,242.04 and 1,415.16

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Solution

The fourth proportional to 3,493.67, 5,242.04 and 1,415.16 is: 2,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.67 : 5,242.04 = 1,415.16 : x
  2. Step 2: Convert to fraction form
    3,493.67/5,242.04 = 1,415.16/x
  3. Step 3: Cross multiply
    3,493.67x = 5,242.04 × 1,415.16
  4. Step 4: Simplify right side
    3,493.67x = 7,418,318.25
  5. Step 5: Solve for x
    x = 7,418,318.25/3,493.67
  6. Step 6: Final answer
    x = 2,123.36

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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.