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Finding the Fourth Proportional to 4,284.78, 6,460.26 and 3,429.42

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Solution

The fourth proportional to 4,284.78, 6,460.26 and 3,429.42 is: 5,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.78 : 6,460.26 = 3,429.42 : x
  2. Step 2: Convert to fraction form
    4,284.78/6,460.26 = 3,429.42/x
  3. Step 3: Cross multiply
    4,284.78x = 6,460.26 × 3,429.42
  4. Step 4: Simplify right side
    4,284.78x = 22,154,944.85
  5. Step 5: Solve for x
    x = 22,154,944.85/4,284.78
  6. Step 6: Final answer
    x = 5,170.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.