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Finding the Fourth Proportional to 3,858.95, 5,784.99 and 1,393.22

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Solution

The fourth proportional to 3,858.95, 5,784.99 and 1,393.22 is: 2,088.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.95 : 5,784.99 = 1,393.22 : x
  2. Step 2: Convert to fraction form
    3,858.95/5,784.99 = 1,393.22/x
  3. Step 3: Cross multiply
    3,858.95x = 5,784.99 × 1,393.22
  4. Step 4: Simplify right side
    3,858.95x = 8,059,773.01
  5. Step 5: Solve for x
    x = 8,059,773.01/3,858.95
  6. Step 6: Final answer
    x = 2,088.59

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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.