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Finding the Fourth Proportional to 4,807.65, 6,634.16 and 2,682.99

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Solution

The fourth proportional to 4,807.65, 6,634.16 and 2,682.99 is: 3,702.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,807.65 : 6,634.16 = 2,682.99 : x
  2. Step 2: Convert to fraction form
    4,807.65/6,634.16 = 2,682.99/x
  3. Step 3: Cross multiply
    4,807.65x = 6,634.16 × 2,682.99
  4. Step 4: Simplify right side
    4,807.65x = 17,799,371.52
  5. Step 5: Solve for x
    x = 17,799,371.52/4,807.65
  6. Step 6: Final answer
    x = 3,702.30

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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.