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Finding the Fourth Proportional to 4,699.40, 6,488.34 and 4,200.44

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Solution

The fourth proportional to 4,699.40, 6,488.34 and 4,200.44 is: 5,799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.40 : 6,488.34 = 4,200.44 : x
  2. Step 2: Convert to fraction form
    4,699.40/6,488.34 = 4,200.44/x
  3. Step 3: Cross multiply
    4,699.40x = 6,488.34 × 4,200.44
  4. Step 4: Simplify right side
    4,699.40x = 27,253,882.87
  5. Step 5: Solve for x
    x = 27,253,882.87/4,699.40
  6. Step 6: Final answer
    x = 5,799.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.