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Finding the Fourth Proportional to 6,585.91, 9,878.81 and 2,687.58

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Solution

The fourth proportional to 6,585.91, 9,878.81 and 2,687.58 is: 4,031.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,585.91 : 9,878.81 = 2,687.58 : x
  2. Step 2: Convert to fraction form
    6,585.91/9,878.81 = 2,687.58/x
  3. Step 3: Cross multiply
    6,585.91x = 9,878.81 × 2,687.58
  4. Step 4: Simplify right side
    6,585.91x = 26,550,093.86
  5. Step 5: Solve for x
    x = 26,550,093.86/6,585.91
  6. Step 6: Final answer
    x = 4,031.35

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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.