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Finding the Fourth Proportional to 4,182.80, 5,773.30 and 2,415.46

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Solution

The fourth proportional to 4,182.80, 5,773.30 and 2,415.46 is: 3,333.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182.80 : 5,773.30 = 2,415.46 : x
  2. Step 2: Convert to fraction form
    4,182.80/5,773.30 = 2,415.46/x
  3. Step 3: Cross multiply
    4,182.80x = 5,773.30 × 2,415.46
  4. Step 4: Simplify right side
    4,182.80x = 13,945,175.22
  5. Step 5: Solve for x
    x = 13,945,175.22/4,182.80
  6. Step 6: Final answer
    x = 3,333.93

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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.