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Finding the Fourth Proportional to 3,958.66, 5,903.15 and 3,681.64

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Solution

The fourth proportional to 3,958.66, 5,903.15 and 3,681.64 is: 5,490.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.66 : 5,903.15 = 3,681.64 : x
  2. Step 2: Convert to fraction form
    3,958.66/5,903.15 = 3,681.64/x
  3. Step 3: Cross multiply
    3,958.66x = 5,903.15 × 3,681.64
  4. Step 4: Simplify right side
    3,958.66x = 21,733,273.17
  5. Step 5: Solve for x
    x = 21,733,273.17/3,958.66
  6. Step 6: Final answer
    x = 5,490.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.