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Finding the Fourth Proportional to 4,146.76, 6,218.52 and 1,548.28

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Solution

The fourth proportional to 4,146.76, 6,218.52 and 1,548.28 is: 2,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.76 : 6,218.52 = 1,548.28 : x
  2. Step 2: Convert to fraction form
    4,146.76/6,218.52 = 1,548.28/x
  3. Step 3: Cross multiply
    4,146.76x = 6,218.52 × 1,548.28
  4. Step 4: Simplify right side
    4,146.76x = 9,628,010.15
  5. Step 5: Solve for x
    x = 9,628,010.15/4,146.76
  6. Step 6: Final answer
    x = 2,321.82

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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.