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Finding the Fourth Proportional to 3,815.70, 5,263.81 and 2,401.12

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Solution

The fourth proportional to 3,815.70, 5,263.81 and 2,401.12 is: 3,312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,815.70 : 5,263.81 = 2,401.12 : x
  2. Step 2: Convert to fraction form
    3,815.70/5,263.81 = 2,401.12/x
  3. Step 3: Cross multiply
    3,815.70x = 5,263.81 × 2,401.12
  4. Step 4: Simplify right side
    3,815.70x = 12,639,039.47
  5. Step 5: Solve for x
    x = 12,639,039.47/3,815.70
  6. Step 6: Final answer
    x = 3,312.38

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Why These Related Problems?

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