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Finding the Fourth Proportional to 5,646.38, 7,795.66 and 3,630.70

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Solution

The fourth proportional to 5,646.38, 7,795.66 and 3,630.70 is: 5,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.38 : 7,795.66 = 3,630.70 : x
  2. Step 2: Convert to fraction form
    5,646.38/7,795.66 = 3,630.70/x
  3. Step 3: Cross multiply
    5,646.38x = 7,795.66 × 3,630.70
  4. Step 4: Simplify right side
    5,646.38x = 28,303,645.63
  5. Step 5: Solve for x
    x = 28,303,645.63/5,646.38
  6. Step 6: Final answer
    x = 5,012.71

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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.