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Finding the Fourth Proportional to 4,116.67, 6,164.44 and 2,265.72

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Solution

The fourth proportional to 4,116.67, 6,164.44 and 2,265.72 is: 3,392.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,116.67 : 6,164.44 = 2,265.72 : x
  2. Step 2: Convert to fraction form
    4,116.67/6,164.44 = 2,265.72/x
  3. Step 3: Cross multiply
    4,116.67x = 6,164.44 × 2,265.72
  4. Step 4: Simplify right side
    4,116.67x = 13,966,900.89
  5. Step 5: Solve for x
    x = 13,966,900.89/4,116.67
  6. Step 6: Final answer
    x = 3,392.76

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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.