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Finding the Fourth Proportional to 5,787.75, 8,678.29 and 5,095.81

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Solution

The fourth proportional to 5,787.75, 8,678.29 and 5,095.81 is: 7,640.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.75 : 8,678.29 = 5,095.81 : x
  2. Step 2: Convert to fraction form
    5,787.75/8,678.29 = 5,095.81/x
  3. Step 3: Cross multiply
    5,787.75x = 8,678.29 × 5,095.81
  4. Step 4: Simplify right side
    5,787.75x = 44,222,916.96
  5. Step 5: Solve for x
    x = 44,222,916.96/5,787.75
  6. Step 6: Final answer
    x = 7,640.78

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Why These Related Problems?

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