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Finding the Fourth Proportional to 5,646.91, 7,791.95 and 3,128.40

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Solution

The fourth proportional to 5,646.91, 7,791.95 and 3,128.40 is: 4,316.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.91 : 7,791.95 = 3,128.40 : x
  2. Step 2: Convert to fraction form
    5,646.91/7,791.95 = 3,128.40/x
  3. Step 3: Cross multiply
    5,646.91x = 7,791.95 × 3,128.40
  4. Step 4: Simplify right side
    5,646.91x = 24,376,336.38
  5. Step 5: Solve for x
    x = 24,376,336.38/5,646.91
  6. Step 6: Final answer
    x = 4,316.76

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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.