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Finding the Fourth Proportional to 4,090.29, 6,134.90 and 1,624.47

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Solution

The fourth proportional to 4,090.29, 6,134.90 and 1,624.47 is: 2,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,090.29 : 6,134.90 = 1,624.47 : x
  2. Step 2: Convert to fraction form
    4,090.29/6,134.90 = 1,624.47/x
  3. Step 3: Cross multiply
    4,090.29x = 6,134.90 × 1,624.47
  4. Step 4: Simplify right side
    4,090.29x = 9,965,952.88
  5. Step 5: Solve for x
    x = 9,965,952.88/4,090.29
  6. Step 6: Final answer
    x = 2,436.49

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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.