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Finding the Fourth Proportional to 4,679.84, 6,458.13 and 2,690.42

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Solution

The fourth proportional to 4,679.84, 6,458.13 and 2,690.42 is: 3,712.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,679.84 : 6,458.13 = 2,690.42 : x
  2. Step 2: Convert to fraction form
    4,679.84/6,458.13 = 2,690.42/x
  3. Step 3: Cross multiply
    4,679.84x = 6,458.13 × 2,690.42
  4. Step 4: Simplify right side
    4,679.84x = 17,375,049.82
  5. Step 5: Solve for x
    x = 17,375,049.82/4,679.84
  6. Step 6: Final answer
    x = 3,712.74

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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.