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Finding the Fourth Proportional to 4,146.88, 6,220.60 and 1,549.76

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Solution

The fourth proportional to 4,146.88, 6,220.60 and 1,549.76 is: 2,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.88 : 6,220.60 = 1,549.76 : x
  2. Step 2: Convert to fraction form
    4,146.88/6,220.60 = 1,549.76/x
  3. Step 3: Cross multiply
    4,146.88x = 6,220.60 × 1,549.76
  4. Step 4: Simplify right side
    4,146.88x = 9,640,437.06
  5. Step 5: Solve for x
    x = 9,640,437.06/4,146.88
  6. Step 6: Final answer
    x = 2,324.74

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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.