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Finding the Fourth Proportional to 3,931.83, 5,898.42 and 1,299.96

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Solution

The fourth proportional to 3,931.83, 5,898.42 and 1,299.96 is: 1,950.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,931.83 : 5,898.42 = 1,299.96 : x
  2. Step 2: Convert to fraction form
    3,931.83/5,898.42 = 1,299.96/x
  3. Step 3: Cross multiply
    3,931.83x = 5,898.42 × 1,299.96
  4. Step 4: Simplify right side
    3,931.83x = 7,667,710.06
  5. Step 5: Solve for x
    x = 7,667,710.06/3,931.83
  6. Step 6: Final answer
    x = 1,950.16

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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.