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Finding the Fourth Proportional to 3,496.42, 5,243.82 and 1,415.85

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Solution

The fourth proportional to 3,496.42, 5,243.82 and 1,415.85 is: 2,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.42 : 5,243.82 = 1,415.85 : x
  2. Step 2: Convert to fraction form
    3,496.42/5,243.82 = 1,415.85/x
  3. Step 3: Cross multiply
    3,496.42x = 5,243.82 × 1,415.85
  4. Step 4: Simplify right side
    3,496.42x = 7,424,462.55
  5. Step 5: Solve for x
    x = 7,424,462.55/3,496.42
  6. Step 6: Final answer
    x = 2,123.45

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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.