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Finding the Fourth Proportional to 4,577.67, 6,863.40 and 1,615.41

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Solution

The fourth proportional to 4,577.67, 6,863.40 and 1,615.41 is: 2,422.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.67 : 6,863.40 = 1,615.41 : x
  2. Step 2: Convert to fraction form
    4,577.67/6,863.40 = 1,615.41/x
  3. Step 3: Cross multiply
    4,577.67x = 6,863.40 × 1,615.41
  4. Step 4: Simplify right side
    4,577.67x = 11,087,204.99
  5. Step 5: Solve for x
    x = 11,087,204.99/4,577.67
  6. Step 6: Final answer
    x = 2,422.02

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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.