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Finding the Fourth Proportional to 5,945.88, 8,206.08 and 3,428.40

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Solution

The fourth proportional to 5,945.88, 8,206.08 and 3,428.40 is: 4,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.88 : 8,206.08 = 3,428.40 : x
  2. Step 2: Convert to fraction form
    5,945.88/8,206.08 = 3,428.40/x
  3. Step 3: Cross multiply
    5,945.88x = 8,206.08 × 3,428.40
  4. Step 4: Simplify right side
    5,945.88x = 28,133,724.67
  5. Step 5: Solve for x
    x = 28,133,724.67/5,945.88
  6. Step 6: Final answer
    x = 4,731.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.