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Finding the Fourth Proportional to 3,785.70, 5,675.06 and 2,031.93

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Solution

The fourth proportional to 3,785.70, 5,675.06 and 2,031.93 is: 3,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785.70 : 5,675.06 = 2,031.93 : x
  2. Step 2: Convert to fraction form
    3,785.70/5,675.06 = 2,031.93/x
  3. Step 3: Cross multiply
    3,785.70x = 5,675.06 × 2,031.93
  4. Step 4: Simplify right side
    3,785.70x = 11,531,328.96
  5. Step 5: Solve for x
    x = 11,531,328.96/3,785.70
  6. Step 6: Final answer
    x = 3,046.02

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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.