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Finding the Fourth Proportional to 4,762.27, 6,571.72 and 2,637.66

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Solution

The fourth proportional to 4,762.27, 6,571.72 and 2,637.66 is: 3,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.27 : 6,571.72 = 2,637.66 : x
  2. Step 2: Convert to fraction form
    4,762.27/6,571.72 = 2,637.66/x
  3. Step 3: Cross multiply
    4,762.27x = 6,571.72 × 2,637.66
  4. Step 4: Simplify right side
    4,762.27x = 17,333,949.79
  5. Step 5: Solve for x
    x = 17,333,949.79/4,762.27
  6. Step 6: Final answer
    x = 3,639.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.