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Finding the Fourth Proportional to 3,806.25, 5,710.20 and 1,614.93

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Solution

The fourth proportional to 3,806.25, 5,710.20 and 1,614.93 is: 2,422.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.25 : 5,710.20 = 1,614.93 : x
  2. Step 2: Convert to fraction form
    3,806.25/5,710.20 = 1,614.93/x
  3. Step 3: Cross multiply
    3,806.25x = 5,710.20 × 1,614.93
  4. Step 4: Simplify right side
    3,806.25x = 9,221,565.21
  5. Step 5: Solve for x
    x = 9,221,565.21/3,806.25
  6. Step 6: Final answer
    x = 2,422.74

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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.