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Finding the Fourth Proportional to 3,647.89, 5,471.95 and 1,426.64

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Solution

The fourth proportional to 3,647.89, 5,471.95 and 1,426.64 is: 2,140.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.89 : 5,471.95 = 1,426.64 : x
  2. Step 2: Convert to fraction form
    3,647.89/5,471.95 = 1,426.64/x
  3. Step 3: Cross multiply
    3,647.89x = 5,471.95 × 1,426.64
  4. Step 4: Simplify right side
    3,647.89x = 7,806,468.26
  5. Step 5: Solve for x
    x = 7,806,468.26/3,647.89
  6. Step 6: Final answer
    x = 2,140.00

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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.