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Finding the Fourth Proportional to 4,296.70, 6,436.56 and 2,442.22

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Solution

The fourth proportional to 4,296.70, 6,436.56 and 2,442.22 is: 3,658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.70 : 6,436.56 = 2,442.22 : x
  2. Step 2: Convert to fraction form
    4,296.70/6,436.56 = 2,442.22/x
  3. Step 3: Cross multiply
    4,296.70x = 6,436.56 × 2,442.22
  4. Step 4: Simplify right side
    4,296.70x = 15,719,495.56
  5. Step 5: Solve for x
    x = 15,719,495.56/4,296.70
  6. Step 6: Final answer
    x = 3,658.50

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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.