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Finding the Fourth Proportional to 2,913.88, 4,364.46 and 2,363.50

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Solution

The fourth proportional to 2,913.88, 4,364.46 and 2,363.50 is: 3,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,913.88 : 4,364.46 = 2,363.50 : x
  2. Step 2: Convert to fraction form
    2,913.88/4,364.46 = 2,363.50/x
  3. Step 3: Cross multiply
    2,913.88x = 4,364.46 × 2,363.50
  4. Step 4: Simplify right side
    2,913.88x = 10,315,401.21
  5. Step 5: Solve for x
    x = 10,315,401.21/2,913.88
  6. Step 6: Final answer
    x = 3,540.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.