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Finding the Fourth Proportional to 4,695.26, 6,479.66 and 2,599.38

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Solution

The fourth proportional to 4,695.26, 6,479.66 and 2,599.38 is: 3,587.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,695.26 : 6,479.66 = 2,599.38 : x
  2. Step 2: Convert to fraction form
    4,695.26/6,479.66 = 2,599.38/x
  3. Step 3: Cross multiply
    4,695.26x = 6,479.66 × 2,599.38
  4. Step 4: Simplify right side
    4,695.26x = 16,843,098.61
  5. Step 5: Solve for x
    x = 16,843,098.61/4,695.26
  6. Step 6: Final answer
    x = 3,587.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.