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Finding the Fourth Proportional to 3,993.17, 5,980.64 and 3,526.00

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Solution

The fourth proportional to 3,993.17, 5,980.64 and 3,526.00 is: 5,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.17 : 5,980.64 = 3,526.00 : x
  2. Step 2: Convert to fraction form
    3,993.17/5,980.64 = 3,526.00/x
  3. Step 3: Cross multiply
    3,993.17x = 5,980.64 × 3,526.00
  4. Step 4: Simplify right side
    3,993.17x = 21,087,704.06
  5. Step 5: Solve for x
    x = 21,087,704.06/3,993.17
  6. Step 6: Final answer
    x = 5,280.95

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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.