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Finding the Fourth Proportional to 6,214.86, 8,574.66 and 3,695.70

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Solution

The fourth proportional to 6,214.86, 8,574.66 and 3,695.70 is: 5,098.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.86 : 8,574.66 = 3,695.70 : x
  2. Step 2: Convert to fraction form
    6,214.86/8,574.66 = 3,695.70/x
  3. Step 3: Cross multiply
    6,214.86x = 8,574.66 × 3,695.70
  4. Step 4: Simplify right side
    6,214.86x = 31,689,370.96
  5. Step 5: Solve for x
    x = 31,689,370.96/6,214.86
  6. Step 6: Final answer
    x = 5,098.97

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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.