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Finding the Fourth Proportional to 4,722.84, 7,086.24 and 2,385

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Solution

The fourth proportional to 4,722.84, 7,086.24 and 2,385 is: 3,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,722.84 : 7,086.24 = 2,385 : x
  2. Step 2: Convert to fraction form
    4,722.84/7,086.24 = 2,385/x
  3. Step 3: Cross multiply
    4,722.84x = 7,086.24 × 2,385
  4. Step 4: Simplify right side
    4,722.84x = 16,900,682.40
  5. Step 5: Solve for x
    x = 16,900,682.40/4,722.84
  6. Step 6: Final answer
    x = 3,578.50

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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.