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Finding the Fourth Proportional to 3,807.68, 5,709.92 and 1,341.76

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Solution

The fourth proportional to 3,807.68, 5,709.92 and 1,341.76 is: 2,012.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.68 : 5,709.92 = 1,341.76 : x
  2. Step 2: Convert to fraction form
    3,807.68/5,709.92 = 1,341.76/x
  3. Step 3: Cross multiply
    3,807.68x = 5,709.92 × 1,341.76
  4. Step 4: Simplify right side
    3,807.68x = 7,661,342.26
  5. Step 5: Solve for x
    x = 7,661,342.26/3,807.68
  6. Step 6: Final answer
    x = 2,012.08

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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.