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Finding the Fourth Proportional to 4,816.98, 6,646.74 and 2,827.38

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Solution

The fourth proportional to 4,816.98, 6,646.74 and 2,827.38 is: 3,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,816.98 : 6,646.74 = 2,827.38 : x
  2. Step 2: Convert to fraction form
    4,816.98/6,646.74 = 2,827.38/x
  3. Step 3: Cross multiply
    4,816.98x = 6,646.74 × 2,827.38
  4. Step 4: Simplify right side
    4,816.98x = 18,792,859.74
  5. Step 5: Solve for x
    x = 18,792,859.74/4,816.98
  6. Step 6: Final answer
    x = 3,901.38

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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.