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Finding the Fourth Proportional to 6,474.50, 8,935.72 and 3,643.01

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Solution

The fourth proportional to 6,474.50, 8,935.72 and 3,643.01 is: 5,027.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.50 : 8,935.72 = 3,643.01 : x
  2. Step 2: Convert to fraction form
    6,474.50/8,935.72 = 3,643.01/x
  3. Step 3: Cross multiply
    6,474.50x = 8,935.72 × 3,643.01
  4. Step 4: Simplify right side
    6,474.50x = 32,552,897.04
  5. Step 5: Solve for x
    x = 32,552,897.04/6,474.50
  6. Step 6: Final answer
    x = 5,027.86

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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.