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Finding the Fourth Proportional to 4,695.96, 6,480.51 and 2,571.46

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Solution

The fourth proportional to 4,695.96, 6,480.51 and 2,571.46 is: 3,548.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.96 : 6,480.51 = 2,571.46 : x
  2. Step 2: Convert to fraction form
    4,695.96/6,480.51 = 2,571.46/x
  3. Step 3: Cross multiply
    4,695.96x = 6,480.51 × 2,571.46
  4. Step 4: Simplify right side
    4,695.96x = 16,664,365.82
  5. Step 5: Solve for x
    x = 16,664,365.82/4,695.96
  6. Step 6: Final answer
    x = 3,548.66

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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.