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Finding the Fourth Proportional to 3,807.67, 5,711.96 and 1,341.98

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Solution

The fourth proportional to 3,807.67, 5,711.96 and 1,341.98 is: 2,013.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.67 : 5,711.96 = 1,341.98 : x
  2. Step 2: Convert to fraction form
    3,807.67/5,711.96 = 1,341.98/x
  3. Step 3: Cross multiply
    3,807.67x = 5,711.96 × 1,341.98
  4. Step 4: Simplify right side
    3,807.67x = 7,665,336.08
  5. Step 5: Solve for x
    x = 7,665,336.08/3,807.67
  6. Step 6: Final answer
    x = 2,013.13

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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.