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Finding the Fourth Proportional to 4,571.64, 6,866.78 and 3,013.88

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Solution

The fourth proportional to 4,571.64, 6,866.78 and 3,013.88 is: 4,526.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.64 : 6,866.78 = 3,013.88 : x
  2. Step 2: Convert to fraction form
    4,571.64/6,866.78 = 3,013.88/x
  3. Step 3: Cross multiply
    4,571.64x = 6,866.78 × 3,013.88
  4. Step 4: Simplify right side
    4,571.64x = 20,695,601.50
  5. Step 5: Solve for x
    x = 20,695,601.50/4,571.64
  6. Step 6: Final answer
    x = 4,526.95

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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.