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Finding the Fourth Proportional to 3,269.16, 4,889.16 and 3,118.50

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Solution

The fourth proportional to 3,269.16, 4,889.16 and 3,118.50 is: 4,663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,269.16 : 4,889.16 = 3,118.50 : x
  2. Step 2: Convert to fraction form
    3,269.16/4,889.16 = 3,118.50/x
  3. Step 3: Cross multiply
    3,269.16x = 4,889.16 × 3,118.50
  4. Step 4: Simplify right side
    3,269.16x = 15,246,845.46
  5. Step 5: Solve for x
    x = 15,246,845.46/3,269.16
  6. Step 6: Final answer
    x = 4,663.84

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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.