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Finding the Fourth Proportional to 5,807.74, 8,017.44 and 3,713.08

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Solution

The fourth proportional to 5,807.74, 8,017.44 and 3,713.08 is: 5,125.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,807.74 : 8,017.44 = 3,713.08 : x
  2. Step 2: Convert to fraction form
    5,807.74/8,017.44 = 3,713.08/x
  3. Step 3: Cross multiply
    5,807.74x = 8,017.44 × 3,713.08
  4. Step 4: Simplify right side
    5,807.74x = 29,769,396.12
  5. Step 5: Solve for x
    x = 29,769,396.12/5,807.74
  6. Step 6: Final answer
    x = 5,125.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.