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Finding the Fourth Proportional to 4,182.66, 6,261.03 and 3,029.22

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Solution

The fourth proportional to 4,182.66, 6,261.03 and 3,029.22 is: 4,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.66 : 6,261.03 = 3,029.22 : x
  2. Step 2: Convert to fraction form
    4,182.66/6,261.03 = 3,029.22/x
  3. Step 3: Cross multiply
    4,182.66x = 6,261.03 × 3,029.22
  4. Step 4: Simplify right side
    4,182.66x = 18,966,037.30
  5. Step 5: Solve for x
    x = 18,966,037.30/4,182.66
  6. Step 6: Final answer
    x = 4,534.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.