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Finding the Fourth Proportional to 5,066.71, 6,990.98 and 3,177.38

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Solution

The fourth proportional to 5,066.71, 6,990.98 and 3,177.38 is: 4,384.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,066.71 : 6,990.98 = 3,177.38 : x
  2. Step 2: Convert to fraction form
    5,066.71/6,990.98 = 3,177.38/x
  3. Step 3: Cross multiply
    5,066.71x = 6,990.98 × 3,177.38
  4. Step 4: Simplify right side
    5,066.71x = 22,213,001.62
  5. Step 5: Solve for x
    x = 22,213,001.62/5,066.71
  6. Step 6: Final answer
    x = 4,384.11

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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.