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Finding the Fourth Proportional to 3,838.68, 5,298.01 and 2,423.14

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Solution

The fourth proportional to 3,838.68, 5,298.01 and 2,423.14 is: 3,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.68 : 5,298.01 = 2,423.14 : x
  2. Step 2: Convert to fraction form
    3,838.68/5,298.01 = 2,423.14/x
  3. Step 3: Cross multiply
    3,838.68x = 5,298.01 × 2,423.14
  4. Step 4: Simplify right side
    3,838.68x = 12,837,815.55
  5. Step 5: Solve for x
    x = 12,837,815.55/3,838.68
  6. Step 6: Final answer
    x = 3,344.33

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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.