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Finding the Fourth Proportional to 5,643.45, 7,789.68 and 3,654

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Solution

The fourth proportional to 5,643.45, 7,789.68 and 3,654 is: 5,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.45 : 7,789.68 = 3,654 : x
  2. Step 2: Convert to fraction form
    5,643.45/7,789.68 = 3,654/x
  3. Step 3: Cross multiply
    5,643.45x = 7,789.68 × 3,654
  4. Step 4: Simplify right side
    5,643.45x = 28,463,490.72
  5. Step 5: Solve for x
    x = 28,463,490.72/5,643.45
  6. Step 6: Final answer
    x = 5,043.63

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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.