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Finding the Fourth Proportional to 3,805.21, 5,707.80 and 1,031.87

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Solution

The fourth proportional to 3,805.21, 5,707.80 and 1,031.87 is: 1,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.21 : 5,707.80 = 1,031.87 : x
  2. Step 2: Convert to fraction form
    3,805.21/5,707.80 = 1,031.87/x
  3. Step 3: Cross multiply
    3,805.21x = 5,707.80 × 1,031.87
  4. Step 4: Simplify right side
    3,805.21x = 5,889,732.56
  5. Step 5: Solve for x
    x = 5,889,732.56/3,805.21
  6. Step 6: Final answer
    x = 1,547.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.