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Finding the Fourth Proportional to 6,308.67, 8,701.64 and 3,656.12

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Solution

The fourth proportional to 6,308.67, 8,701.64 and 3,656.12 is: 5,042.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,308.67 : 8,701.64 = 3,656.12 : x
  2. Step 2: Convert to fraction form
    6,308.67/8,701.64 = 3,656.12/x
  3. Step 3: Cross multiply
    6,308.67x = 8,701.64 × 3,656.12
  4. Step 4: Simplify right side
    6,308.67x = 31,814,254.39
  5. Step 5: Solve for x
    x = 31,814,254.39/6,308.67
  6. Step 6: Final answer
    x = 5,042.94

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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.