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Finding the Fourth Proportional to 3,810.51, 5,711.15 and 1,614.62

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Solution

The fourth proportional to 3,810.51, 5,711.15 and 1,614.62 is: 2,419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.51 : 5,711.15 = 1,614.62 : x
  2. Step 2: Convert to fraction form
    3,810.51/5,711.15 = 1,614.62/x
  3. Step 3: Cross multiply
    3,810.51x = 5,711.15 × 1,614.62
  4. Step 4: Simplify right side
    3,810.51x = 9,221,335.94
  5. Step 5: Solve for x
    x = 9,221,335.94/3,810.51
  6. Step 6: Final answer
    x = 2,419.98

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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.