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Finding the Fourth Proportional to 3,502.11, 5,252.99 and 904.98

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Solution

The fourth proportional to 3,502.11, 5,252.99 and 904.98 is: 1,357.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.11 : 5,252.99 = 904.98 : x
  2. Step 2: Convert to fraction form
    3,502.11/5,252.99 = 904.98/x
  3. Step 3: Cross multiply
    3,502.11x = 5,252.99 × 904.98
  4. Step 4: Simplify right side
    3,502.11x = 4,753,846.37
  5. Step 5: Solve for x
    x = 4,753,846.37/3,502.11
  6. Step 6: Final answer
    x = 1,357.42

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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.