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Finding the Fourth Proportional to 6,397.01, 8,827.73 and 3,564.38

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Solution

The fourth proportional to 6,397.01, 8,827.73 and 3,564.38 is: 4,918.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.01 : 8,827.73 = 3,564.38 : x
  2. Step 2: Convert to fraction form
    6,397.01/8,827.73 = 3,564.38/x
  3. Step 3: Cross multiply
    6,397.01x = 8,827.73 × 3,564.38
  4. Step 4: Simplify right side
    6,397.01x = 31,465,322.30
  5. Step 5: Solve for x
    x = 31,465,322.30/6,397.01
  6. Step 6: Final answer
    x = 4,918.76

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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.