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Finding the Fourth Proportional to 3,420.41, 5,125.65 and 1,859.09

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Solution

The fourth proportional to 3,420.41, 5,125.65 and 1,859.09 is: 2,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.41 : 5,125.65 = 1,859.09 : x
  2. Step 2: Convert to fraction form
    3,420.41/5,125.65 = 1,859.09/x
  3. Step 3: Cross multiply
    3,420.41x = 5,125.65 × 1,859.09
  4. Step 4: Simplify right side
    3,420.41x = 9,529,019.03
  5. Step 5: Solve for x
    x = 9,529,019.03/3,420.41
  6. Step 6: Final answer
    x = 2,785.93

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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.