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Finding the Fourth Proportional to 3,782.65, 5,674.78 and 1,590.11

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Solution

The fourth proportional to 3,782.65, 5,674.78 and 1,590.11 is: 2,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.65 : 5,674.78 = 1,590.11 : x
  2. Step 2: Convert to fraction form
    3,782.65/5,674.78 = 1,590.11/x
  3. Step 3: Cross multiply
    3,782.65x = 5,674.78 × 1,590.11
  4. Step 4: Simplify right side
    3,782.65x = 9,023,524.43
  5. Step 5: Solve for x
    x = 9,023,524.43/3,782.65
  6. Step 6: Final answer
    x = 2,385.51

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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.