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Finding the Fourth Proportional to 3,904.89, 5,856.67 and 1,713.03

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Solution

The fourth proportional to 3,904.89, 5,856.67 and 1,713.03 is: 2,569.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.89 : 5,856.67 = 1,713.03 : x
  2. Step 2: Convert to fraction form
    3,904.89/5,856.67 = 1,713.03/x
  3. Step 3: Cross multiply
    3,904.89x = 5,856.67 × 1,713.03
  4. Step 4: Simplify right side
    3,904.89x = 10,032,651.41
  5. Step 5: Solve for x
    x = 10,032,651.41/3,904.89
  6. Step 6: Final answer
    x = 2,569.25

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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.