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Finding the Fourth Proportional to 3,479.52, 5,219.79 and 1,014.02

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Solution

The fourth proportional to 3,479.52, 5,219.79 and 1,014.02 is: 1,521.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.52 : 5,219.79 = 1,014.02 : x
  2. Step 2: Convert to fraction form
    3,479.52/5,219.79 = 1,014.02/x
  3. Step 3: Cross multiply
    3,479.52x = 5,219.79 × 1,014.02
  4. Step 4: Simplify right side
    3,479.52x = 5,292,971.46
  5. Step 5: Solve for x
    x = 5,292,971.46/3,479.52
  6. Step 6: Final answer
    x = 1,521.18

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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.