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Finding the Fourth Proportional to 4,764.65, 6,575.09 and 2,640.12

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Solution

The fourth proportional to 4,764.65, 6,575.09 and 2,640.12 is: 3,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.65 : 6,575.09 = 2,640.12 : x
  2. Step 2: Convert to fraction form
    4,764.65/6,575.09 = 2,640.12/x
  3. Step 3: Cross multiply
    4,764.65x = 6,575.09 × 2,640.12
  4. Step 4: Simplify right side
    4,764.65x = 17,359,013.41
  5. Step 5: Solve for x
    x = 17,359,013.41/4,764.65
  6. Step 6: Final answer
    x = 3,643.30

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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.