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Finding the Fourth Proportional to 4,013.56, 6,010.56 and 2,777.50

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Solution

The fourth proportional to 4,013.56, 6,010.56 and 2,777.50 is: 4,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,013.56 : 6,010.56 = 2,777.50 : x
  2. Step 2: Convert to fraction form
    4,013.56/6,010.56 = 2,777.50/x
  3. Step 3: Cross multiply
    4,013.56x = 6,010.56 × 2,777.50
  4. Step 4: Simplify right side
    4,013.56x = 16,694,330.40
  5. Step 5: Solve for x
    x = 16,694,330.40/4,013.56
  6. Step 6: Final answer
    x = 4,159.48

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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.