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Finding the Fourth Proportional to 3,590.49, 5,380.47 and 1,809.11

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Solution

The fourth proportional to 3,590.49, 5,380.47 and 1,809.11 is: 2,711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.49 : 5,380.47 = 1,809.11 : x
  2. Step 2: Convert to fraction form
    3,590.49/5,380.47 = 1,809.11/x
  3. Step 3: Cross multiply
    3,590.49x = 5,380.47 × 1,809.11
  4. Step 4: Simplify right side
    3,590.49x = 9,733,868.75
  5. Step 5: Solve for x
    x = 9,733,868.75/3,590.49
  6. Step 6: Final answer
    x = 2,711.01

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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.