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Finding the Fourth Proportional to 6,293.78, 8,685.24 and 3,461.17

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Solution

The fourth proportional to 6,293.78, 8,685.24 and 3,461.17 is: 4,776.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.78 : 8,685.24 = 3,461.17 : x
  2. Step 2: Convert to fraction form
    6,293.78/8,685.24 = 3,461.17/x
  3. Step 3: Cross multiply
    6,293.78x = 8,685.24 × 3,461.17
  4. Step 4: Simplify right side
    6,293.78x = 30,061,070.42
  5. Step 5: Solve for x
    x = 30,061,070.42/6,293.78
  6. Step 6: Final answer
    x = 4,776.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.