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Finding the Fourth Proportional to 3,754.89, 5,627.95 and 2,827.46

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Solution

The fourth proportional to 3,754.89, 5,627.95 and 2,827.46 is: 4,237.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.89 : 5,627.95 = 2,827.46 : x
  2. Step 2: Convert to fraction form
    3,754.89/5,627.95 = 2,827.46/x
  3. Step 3: Cross multiply
    3,754.89x = 5,627.95 × 2,827.46
  4. Step 4: Simplify right side
    3,754.89x = 15,912,810.51
  5. Step 5: Solve for x
    x = 15,912,810.51/3,754.89
  6. Step 6: Final answer
    x = 4,237.89

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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.