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Finding the Fourth Proportional to 4,678.87, 7,018.34 and 3,213.58

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Solution

The fourth proportional to 4,678.87, 7,018.34 and 3,213.58 is: 4,820.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.87 : 7,018.34 = 3,213.58 : x
  2. Step 2: Convert to fraction form
    4,678.87/7,018.34 = 3,213.58/x
  3. Step 3: Cross multiply
    4,678.87x = 7,018.34 × 3,213.58
  4. Step 4: Simplify right side
    4,678.87x = 22,553,997.06
  5. Step 5: Solve for x
    x = 22,553,997.06/4,678.87
  6. Step 6: Final answer
    x = 4,820.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.