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Finding the Fourth Proportional to 4,564.66, 6,299.31 and 2,677.60

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Solution

The fourth proportional to 4,564.66, 6,299.31 and 2,677.60 is: 3,695.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,564.66 : 6,299.31 = 2,677.60 : x
  2. Step 2: Convert to fraction form
    4,564.66/6,299.31 = 2,677.60/x
  3. Step 3: Cross multiply
    4,564.66x = 6,299.31 × 2,677.60
  4. Step 4: Simplify right side
    4,564.66x = 16,867,040.33
  5. Step 5: Solve for x
    x = 16,867,040.33/4,564.66
  6. Step 6: Final answer
    x = 3,695.14

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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.