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Finding the Fourth Proportional to 3,652.56, 5,040.55 and 2,080.66

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Solution

The fourth proportional to 3,652.56, 5,040.55 and 2,080.66 is: 2,871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.56 : 5,040.55 = 2,080.66 : x
  2. Step 2: Convert to fraction form
    3,652.56/5,040.55 = 2,080.66/x
  3. Step 3: Cross multiply
    3,652.56x = 5,040.55 × 2,080.66
  4. Step 4: Simplify right side
    3,652.56x = 10,487,670.76
  5. Step 5: Solve for x
    x = 10,487,670.76/3,652.56
  6. Step 6: Final answer
    x = 2,871.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.