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Finding the Fourth Proportional to 5,787.90, 8,674.74 and 2,497.32

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Solution

The fourth proportional to 5,787.90, 8,674.74 and 2,497.32 is: 3,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.90 : 8,674.74 = 2,497.32 : x
  2. Step 2: Convert to fraction form
    5,787.90/8,674.74 = 2,497.32/x
  3. Step 3: Cross multiply
    5,787.90x = 8,674.74 × 2,497.32
  4. Step 4: Simplify right side
    5,787.90x = 21,663,601.70
  5. Step 5: Solve for x
    x = 21,663,601.70/5,787.90
  6. Step 6: Final answer
    x = 3,742.91

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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.