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Finding the Fourth Proportional to 6,076.22, 8,376.62 and 4,585.82

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Solution

The fourth proportional to 6,076.22, 8,376.62 and 4,585.82 is: 6,321.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,076.22 : 8,376.62 = 4,585.82 : x
  2. Step 2: Convert to fraction form
    6,076.22/8,376.62 = 4,585.82/x
  3. Step 3: Cross multiply
    6,076.22x = 8,376.62 × 4,585.82
  4. Step 4: Simplify right side
    6,076.22x = 38,413,671.53
  5. Step 5: Solve for x
    x = 38,413,671.53/6,076.22
  6. Step 6: Final answer
    x = 6,321.97

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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.