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Finding the Fourth Proportional to 4,695.82, 6,480.16 and 2,571.38

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Solution

The fourth proportional to 4,695.82, 6,480.16 and 2,571.38 is: 3,548.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.82 : 6,480.16 = 2,571.38 : x
  2. Step 2: Convert to fraction form
    4,695.82/6,480.16 = 2,571.38/x
  3. Step 3: Cross multiply
    4,695.82x = 6,480.16 × 2,571.38
  4. Step 4: Simplify right side
    4,695.82x = 16,662,953.82
  5. Step 5: Solve for x
    x = 16,662,953.82/4,695.82
  6. Step 6: Final answer
    x = 3,548.47

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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.