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Finding the Fourth Proportional to 4,952.08, 7,416.40 and 4,299.27

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Solution

The fourth proportional to 4,952.08, 7,416.40 and 4,299.27 is: 6,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.08 : 7,416.40 = 4,299.27 : x
  2. Step 2: Convert to fraction form
    4,952.08/7,416.40 = 4,299.27/x
  3. Step 3: Cross multiply
    4,952.08x = 7,416.40 × 4,299.27
  4. Step 4: Simplify right side
    4,952.08x = 31,885,106.03
  5. Step 5: Solve for x
    x = 31,885,106.03/4,952.08
  6. Step 6: Final answer
    x = 6,438.73

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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.