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Finding the Fourth Proportional to 2,589.99, 3,886.38 and 2,404.05

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Solution

The fourth proportional to 2,589.99, 3,886.38 and 2,404.05 is: 3,607.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.99 : 3,886.38 = 2,404.05 : x
  2. Step 2: Convert to fraction form
    2,589.99/3,886.38 = 2,404.05/x
  3. Step 3: Cross multiply
    2,589.99x = 3,886.38 × 2,404.05
  4. Step 4: Simplify right side
    2,589.99x = 9,343,051.84
  5. Step 5: Solve for x
    x = 9,343,051.84/2,589.99
  6. Step 6: Final answer
    x = 3,607.37

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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.