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Finding the Fourth Proportional to 4,201.56, 5,803.20 and 3,080.88

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Solution

The fourth proportional to 4,201.56, 5,803.20 and 3,080.88 is: 4,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.56 : 5,803.20 = 3,080.88 : x
  2. Step 2: Convert to fraction form
    4,201.56/5,803.20 = 3,080.88/x
  3. Step 3: Cross multiply
    4,201.56x = 5,803.20 × 3,080.88
  4. Step 4: Simplify right side
    4,201.56x = 17,878,962.82
  5. Step 5: Solve for x
    x = 17,878,962.82/4,201.56
  6. Step 6: Final answer
    x = 4,255.32

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