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Finding the Fourth Proportional to 3,807.91, 5,710.43 and 1,617.67

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Solution

The fourth proportional to 3,807.91, 5,710.43 and 1,617.67 is: 2,425.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.91 : 5,710.43 = 1,617.67 : x
  2. Step 2: Convert to fraction form
    3,807.91/5,710.43 = 1,617.67/x
  3. Step 3: Cross multiply
    3,807.91x = 5,710.43 × 1,617.67
  4. Step 4: Simplify right side
    3,807.91x = 9,237,583.21
  5. Step 5: Solve for x
    x = 9,237,583.21/3,807.91
  6. Step 6: Final answer
    x = 2,425.89

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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.