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Finding the Fourth Proportional to 5,681.70, 8,502.27 and 3,927.06

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Solution

The fourth proportional to 5,681.70, 8,502.27 and 3,927.06 is: 5,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.70 : 8,502.27 = 3,927.06 : x
  2. Step 2: Convert to fraction form
    5,681.70/8,502.27 = 3,927.06/x
  3. Step 3: Cross multiply
    5,681.70x = 8,502.27 × 3,927.06
  4. Step 4: Simplify right side
    5,681.70x = 33,388,924.43
  5. Step 5: Solve for x
    x = 33,388,924.43/5,681.70
  6. Step 6: Final answer
    x = 5,876.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.