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Finding the Fourth Proportional to 4,292.66, 6,438.23 and 1,952.11

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Solution

The fourth proportional to 4,292.66, 6,438.23 and 1,952.11 is: 2,927.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.66 : 6,438.23 = 1,952.11 : x
  2. Step 2: Convert to fraction form
    4,292.66/6,438.23 = 1,952.11/x
  3. Step 3: Cross multiply
    4,292.66x = 6,438.23 × 1,952.11
  4. Step 4: Simplify right side
    4,292.66x = 12,568,123.40
  5. Step 5: Solve for x
    x = 12,568,123.40/4,292.66
  6. Step 6: Final answer
    x = 2,927.82

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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.