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Finding the Fourth Proportional to 3,787.74, 5,679.36 and 1,595.25

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Solution

The fourth proportional to 3,787.74, 5,679.36 and 1,595.25 is: 2,391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.74 : 5,679.36 = 1,595.25 : x
  2. Step 2: Convert to fraction form
    3,787.74/5,679.36 = 1,595.25/x
  3. Step 3: Cross multiply
    3,787.74x = 5,679.36 × 1,595.25
  4. Step 4: Simplify right side
    3,787.74x = 9,059,999.04
  5. Step 5: Solve for x
    x = 9,059,999.04/3,787.74
  6. Step 6: Final answer
    x = 2,391.93

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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.