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Finding the Fourth Proportional to 3,479.42, 5,219.13 and 846.91

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Solution

The fourth proportional to 3,479.42, 5,219.13 and 846.91 is: 1,270.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.42 : 5,219.13 = 846.91 : x
  2. Step 2: Convert to fraction form
    3,479.42/5,219.13 = 846.91/x
  3. Step 3: Cross multiply
    3,479.42x = 5,219.13 × 846.91
  4. Step 4: Simplify right side
    3,479.42x = 4,420,141.40
  5. Step 5: Solve for x
    x = 4,420,141.40/3,479.42
  6. Step 6: Final answer
    x = 1,270.37

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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.