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Finding the Fourth Proportional to 3,795.66, 5,681.72 and 3,472.70

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Solution

The fourth proportional to 3,795.66, 5,681.72 and 3,472.70 is: 5,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.66 : 5,681.72 = 3,472.70 : x
  2. Step 2: Convert to fraction form
    3,795.66/5,681.72 = 3,472.70/x
  3. Step 3: Cross multiply
    3,795.66x = 5,681.72 × 3,472.70
  4. Step 4: Simplify right side
    3,795.66x = 19,730,895.53
  5. Step 5: Solve for x
    x = 19,730,895.53/3,795.66
  6. Step 6: Final answer
    x = 5,198.28

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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.