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Finding the Fourth Proportional to 5,212.46, 7,814.81 and 1,924.94

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Solution

The fourth proportional to 5,212.46, 7,814.81 and 1,924.94 is: 2,885.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,212.46 : 7,814.81 = 1,924.94 : x
  2. Step 2: Convert to fraction form
    5,212.46/7,814.81 = 1,924.94/x
  3. Step 3: Cross multiply
    5,212.46x = 7,814.81 × 1,924.94
  4. Step 4: Simplify right side
    5,212.46x = 15,043,064.71
  5. Step 5: Solve for x
    x = 15,043,064.71/5,212.46
  6. Step 6: Final answer
    x = 2,885.98

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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.