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Finding the Fourth Proportional to 3,435.99, 5,154.39 and 2,575.77

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Solution

The fourth proportional to 3,435.99, 5,154.39 and 2,575.77 is: 3,863.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.99 : 5,154.39 = 2,575.77 : x
  2. Step 2: Convert to fraction form
    3,435.99/5,154.39 = 2,575.77/x
  3. Step 3: Cross multiply
    3,435.99x = 5,154.39 × 2,575.77
  4. Step 4: Simplify right side
    3,435.99x = 13,276,523.13
  5. Step 5: Solve for x
    x = 13,276,523.13/3,435.99
  6. Step 6: Final answer
    x = 3,863.96

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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.