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Finding the Fourth Proportional to 3,790.65, 5,687.10 and 2,291.34

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Solution

The fourth proportional to 3,790.65, 5,687.10 and 2,291.34 is: 3,437.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.65 : 5,687.10 = 2,291.34 : x
  2. Step 2: Convert to fraction form
    3,790.65/5,687.10 = 2,291.34/x
  3. Step 3: Cross multiply
    3,790.65x = 5,687.10 × 2,291.34
  4. Step 4: Simplify right side
    3,790.65x = 13,031,079.71
  5. Step 5: Solve for x
    x = 13,031,079.71/3,790.65
  6. Step 6: Final answer
    x = 3,437.69

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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.