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Finding the Fourth Proportional to 4,089.99, 5,644.12 and 2,411.46

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Solution

The fourth proportional to 4,089.99, 5,644.12 and 2,411.46 is: 3,327.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.99 : 5,644.12 = 2,411.46 : x
  2. Step 2: Convert to fraction form
    4,089.99/5,644.12 = 2,411.46/x
  3. Step 3: Cross multiply
    4,089.99x = 5,644.12 × 2,411.46
  4. Step 4: Simplify right side
    4,089.99x = 13,610,569.62
  5. Step 5: Solve for x
    x = 13,610,569.62/4,089.99
  6. Step 6: Final answer
    x = 3,327.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.