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Finding the Fourth Proportional to 5,334.94, 8,003.50 and 1,874.62

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Solution

The fourth proportional to 5,334.94, 8,003.50 and 1,874.62 is: 2,812.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.94 : 8,003.50 = 1,874.62 : x
  2. Step 2: Convert to fraction form
    5,334.94/8,003.50 = 1,874.62/x
  3. Step 3: Cross multiply
    5,334.94x = 8,003.50 × 1,874.62
  4. Step 4: Simplify right side
    5,334.94x = 15,003,521.17
  5. Step 5: Solve for x
    x = 15,003,521.17/5,334.94
  6. Step 6: Final answer
    x = 2,812.31

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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.