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Finding the Fourth Proportional to 6,293.88, 8,685.59 and 3,461.31

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Solution

The fourth proportional to 6,293.88, 8,685.59 and 3,461.31 is: 4,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.88 : 8,685.59 = 3,461.31 : x
  2. Step 2: Convert to fraction form
    6,293.88/8,685.59 = 3,461.31/x
  3. Step 3: Cross multiply
    6,293.88x = 8,685.59 × 3,461.31
  4. Step 4: Simplify right side
    6,293.88x = 30,063,502.22
  5. Step 5: Solve for x
    x = 30,063,502.22/6,293.88
  6. Step 6: Final answer
    x = 4,776.62

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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.