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Finding the Fourth Proportional to 3,750.88, 5,627.00 and 1,285.94

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Solution

The fourth proportional to 3,750.88, 5,627.00 and 1,285.94 is: 1,929.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.88 : 5,627.00 = 1,285.94 : x
  2. Step 2: Convert to fraction form
    3,750.88/5,627.00 = 1,285.94/x
  3. Step 3: Cross multiply
    3,750.88x = 5,627.00 × 1,285.94
  4. Step 4: Simplify right side
    3,750.88x = 7,236,004.98
  5. Step 5: Solve for x
    x = 7,236,004.98/3,750.88
  6. Step 6: Final answer
    x = 1,929.15

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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.