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Finding the Fourth Proportional to 2,555.59, 3,835.01 and 2,396.83

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Solution

The fourth proportional to 2,555.59, 3,835.01 and 2,396.83 is: 3,596.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555.59 : 3,835.01 = 2,396.83 : x
  2. Step 2: Convert to fraction form
    2,555.59/3,835.01 = 2,396.83/x
  3. Step 3: Cross multiply
    2,555.59x = 3,835.01 × 2,396.83
  4. Step 4: Simplify right side
    2,555.59x = 9,191,867.02
  5. Step 5: Solve for x
    x = 9,191,867.02/2,555.59
  6. Step 6: Final answer
    x = 3,596.77

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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.