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Finding the Fourth Proportional to 4,728, 6,526.26 and 2,865

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Solution

The fourth proportional to 4,728, 6,526.26 and 2,865 is: 3,954.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728 : 6,526.26 = 2,865 : x
  2. Step 2: Convert to fraction form
    4,728/6,526.26 = 2,865/x
  3. Step 3: Cross multiply
    4,728x = 6,526.26 × 2,865
  4. Step 4: Simplify right side
    4,728x = 18,697,734.90
  5. Step 5: Solve for x
    x = 18,697,734.90/4,728
  6. Step 6: Final answer
    x = 3,954.68

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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.