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Finding the Fourth Proportional to 6,586.91, 9,880.31 and 2,688.58

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Solution

The fourth proportional to 6,586.91, 9,880.31 and 2,688.58 is: 4,032.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,586.91 : 9,880.31 = 2,688.58 : x
  2. Step 2: Convert to fraction form
    6,586.91/9,880.31 = 2,688.58/x
  3. Step 3: Cross multiply
    6,586.91x = 9,880.31 × 2,688.58
  4. Step 4: Simplify right side
    6,586.91x = 26,564,003.86
  5. Step 5: Solve for x
    x = 26,564,003.86/6,586.91
  6. Step 6: Final answer
    x = 4,032.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.