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Finding the Fourth Proportional to 4,460.67, 6,685.92 and 2,264.76

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Solution

The fourth proportional to 4,460.67, 6,685.92 and 2,264.76 is: 3,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,460.67 : 6,685.92 = 2,264.76 : x
  2. Step 2: Convert to fraction form
    4,460.67/6,685.92 = 2,264.76/x
  3. Step 3: Cross multiply
    4,460.67x = 6,685.92 × 2,264.76
  4. Step 4: Simplify right side
    4,460.67x = 15,142,004.18
  5. Step 5: Solve for x
    x = 15,142,004.18/4,460.67
  6. Step 6: Final answer
    x = 3,394.56

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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.