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Finding the Fourth Proportional to 4,509.34, 6,758.11 and 3,264.12

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Solution

The fourth proportional to 4,509.34, 6,758.11 and 3,264.12 is: 4,891.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.34 : 6,758.11 = 3,264.12 : x
  2. Step 2: Convert to fraction form
    4,509.34/6,758.11 = 3,264.12/x
  3. Step 3: Cross multiply
    4,509.34x = 6,758.11 × 3,264.12
  4. Step 4: Simplify right side
    4,509.34x = 22,059,265.69
  5. Step 5: Solve for x
    x = 22,059,265.69/4,509.34
  6. Step 6: Final answer
    x = 4,891.91

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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.