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Finding the Fourth Proportional to 4,762.16, 6,571.82 and 2,773.88

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Solution

The fourth proportional to 4,762.16, 6,571.82 and 2,773.88 is: 3,827.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.16 : 6,571.82 = 2,773.88 : x
  2. Step 2: Convert to fraction form
    4,762.16/6,571.82 = 2,773.88/x
  3. Step 3: Cross multiply
    4,762.16x = 6,571.82 × 2,773.88
  4. Step 4: Simplify right side
    4,762.16x = 18,229,440.06
  5. Step 5: Solve for x
    x = 18,229,440.06/4,762.16
  6. Step 6: Final answer
    x = 3,827.98

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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.