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Finding the Fourth Proportional to 4,993.84, 7,490.58 and 1,531

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Solution

The fourth proportional to 4,993.84, 7,490.58 and 1,531 is: 2,296.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,993.84 : 7,490.58 = 1,531 : x
  2. Step 2: Convert to fraction form
    4,993.84/7,490.58 = 1,531/x
  3. Step 3: Cross multiply
    4,993.84x = 7,490.58 × 1,531
  4. Step 4: Simplify right side
    4,993.84x = 11,468,077.98
  5. Step 5: Solve for x
    x = 11,468,077.98/4,993.84
  6. Step 6: Final answer
    x = 2,296.44

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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.