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Finding the Fourth Proportional to 4,814.70, 7,213.54 and 3,346.98

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Solution

The fourth proportional to 4,814.70, 7,213.54 and 3,346.98 is: 5,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,814.70 : 7,213.54 = 3,346.98 : x
  2. Step 2: Convert to fraction form
    4,814.70/7,213.54 = 3,346.98/x
  3. Step 3: Cross multiply
    4,814.70x = 7,213.54 × 3,346.98
  4. Step 4: Simplify right side
    4,814.70x = 24,143,574.11
  5. Step 5: Solve for x
    x = 24,143,574.11/4,814.70
  6. Step 6: Final answer
    x = 5,014.55

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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.