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Finding the Fourth Proportional to 4,292.38, 6,437.01 and 1,950.40

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Solution

The fourth proportional to 4,292.38, 6,437.01 and 1,950.40 is: 2,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.38 : 6,437.01 = 1,950.40 : x
  2. Step 2: Convert to fraction form
    4,292.38/6,437.01 = 1,950.40/x
  3. Step 3: Cross multiply
    4,292.38x = 6,437.01 × 1,950.40
  4. Step 4: Simplify right side
    4,292.38x = 12,554,744.30
  5. Step 5: Solve for x
    x = 12,554,744.30/4,292.38
  6. Step 6: Final answer
    x = 2,924.89

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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.