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Finding the Fourth Proportional to 4,913.71, 7,367.83 and 1,625.92

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Solution

The fourth proportional to 4,913.71, 7,367.83 and 1,625.92 is: 2,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,913.71 : 7,367.83 = 1,625.92 : x
  2. Step 2: Convert to fraction form
    4,913.71/7,367.83 = 1,625.92/x
  3. Step 3: Cross multiply
    4,913.71x = 7,367.83 × 1,625.92
  4. Step 4: Simplify right side
    4,913.71x = 11,979,479.67
  5. Step 5: Solve for x
    x = 11,979,479.67/4,913.71
  6. Step 6: Final answer
    x = 2,437.97

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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.