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Finding the Fourth Proportional to 6,486.90, 8,950.71 and 3,654.06

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Solution

The fourth proportional to 6,486.90, 8,950.71 and 3,654.06 is: 5,041.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.90 : 8,950.71 = 3,654.06 : x
  2. Step 2: Convert to fraction form
    6,486.90/8,950.71 = 3,654.06/x
  3. Step 3: Cross multiply
    6,486.90x = 8,950.71 × 3,654.06
  4. Step 4: Simplify right side
    6,486.90x = 32,706,431.38
  5. Step 5: Solve for x
    x = 32,706,431.38/6,486.90
  6. Step 6: Final answer
    x = 5,041.92

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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.