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Finding the Fourth Proportional to 6,486.71, 8,951.66 and 3,835.43

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Solution

The fourth proportional to 6,486.71, 8,951.66 and 3,835.43 is: 5,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.71 : 8,951.66 = 3,835.43 : x
  2. Step 2: Convert to fraction form
    6,486.71/8,951.66 = 3,835.43/x
  3. Step 3: Cross multiply
    6,486.71x = 8,951.66 × 3,835.43
  4. Step 4: Simplify right side
    6,486.71x = 34,333,465.31
  5. Step 5: Solve for x
    x = 34,333,465.31/6,486.71
  6. Step 6: Final answer
    x = 5,292.89

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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.