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Finding the Fourth Proportional to 15,644, 23,465.75 and 3,797.87

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Solution

The fourth proportional to 15,644, 23,465.75 and 3,797.87 is: 5,696.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,644 : 23,465.75 = 3,797.87 : x
  2. Step 2: Convert to fraction form
    15,644/23,465.75 = 3,797.87/x
  3. Step 3: Cross multiply
    15,644x = 23,465.75 × 3,797.87
  4. Step 4: Simplify right side
    15,644x = 89,119,867.95
  5. Step 5: Solve for x
    x = 89,119,867.95/15,644
  6. Step 6: Final answer
    x = 5,696.74

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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.