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Finding the Fourth Proportional to 5,385.50, 8,074.94 and 1,874.00

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Solution

The fourth proportional to 5,385.50, 8,074.94 and 1,874.00 is: 2,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.50 : 8,074.94 = 1,874.00 : x
  2. Step 2: Convert to fraction form
    5,385.50/8,074.94 = 1,874.00/x
  3. Step 3: Cross multiply
    5,385.50x = 8,074.94 × 1,874.00
  4. Step 4: Simplify right side
    5,385.50x = 15,132,387.82
  5. Step 5: Solve for x
    x = 15,132,387.82/5,385.50
  6. Step 6: Final answer
    x = 2,809.84

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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.