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Finding the Fourth Proportional to 3,289.02, 4,934.34 and 3,019.02

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Solution

The fourth proportional to 3,289.02, 4,934.34 and 3,019.02 is: 4,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.02 : 4,934.34 = 3,019.02 : x
  2. Step 2: Convert to fraction form
    3,289.02/4,934.34 = 3,019.02/x
  3. Step 3: Cross multiply
    3,289.02x = 4,934.34 × 3,019.02
  4. Step 4: Simplify right side
    3,289.02x = 14,896,871.15
  5. Step 5: Solve for x
    x = 14,896,871.15/3,289.02
  6. Step 6: Final answer
    x = 4,529.27

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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.