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Finding the Fourth Proportional to 3,873.14, 5,807.37 and 1,561.94

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Solution

The fourth proportional to 3,873.14, 5,807.37 and 1,561.94 is: 2,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.14 : 5,807.37 = 1,561.94 : x
  2. Step 2: Convert to fraction form
    3,873.14/5,807.37 = 1,561.94/x
  3. Step 3: Cross multiply
    3,873.14x = 5,807.37 × 1,561.94
  4. Step 4: Simplify right side
    3,873.14x = 9,070,763.50
  5. Step 5: Solve for x
    x = 9,070,763.50/3,873.14
  6. Step 6: Final answer
    x = 2,341.97

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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.