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Finding the Fourth Proportional to 3,438.57, 4,744.95 and 1,926.11

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Solution

The fourth proportional to 3,438.57, 4,744.95 and 1,926.11 is: 2,657.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.57 : 4,744.95 = 1,926.11 : x
  2. Step 2: Convert to fraction form
    3,438.57/4,744.95 = 1,926.11/x
  3. Step 3: Cross multiply
    3,438.57x = 4,744.95 × 1,926.11
  4. Step 4: Simplify right side
    3,438.57x = 9,139,271.92
  5. Step 5: Solve for x
    x = 9,139,271.92/3,438.57
  6. Step 6: Final answer
    x = 2,657.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.