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Finding the Fourth Proportional to 3,479.65, 5,219.98 and 1,014.14

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Solution

The fourth proportional to 3,479.65, 5,219.98 and 1,014.14 is: 1,521.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.65 : 5,219.98 = 1,014.14 : x
  2. Step 2: Convert to fraction form
    3,479.65/5,219.98 = 1,014.14/x
  3. Step 3: Cross multiply
    3,479.65x = 5,219.98 × 1,014.14
  4. Step 4: Simplify right side
    3,479.65x = 5,293,801.03
  5. Step 5: Solve for x
    x = 5,293,801.03/3,479.65
  6. Step 6: Final answer
    x = 1,521.36

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Why These Related Problems?

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