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Finding the Fourth Proportional to 5,321.82, 7,338.24 and 3,643.50

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Solution

The fourth proportional to 5,321.82, 7,338.24 and 3,643.50 is: 5,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.82 : 7,338.24 = 3,643.50 : x
  2. Step 2: Convert to fraction form
    5,321.82/7,338.24 = 3,643.50/x
  3. Step 3: Cross multiply
    5,321.82x = 7,338.24 × 3,643.50
  4. Step 4: Simplify right side
    5,321.82x = 26,736,877.44
  5. Step 5: Solve for x
    x = 26,736,877.44/5,321.82
  6. Step 6: Final answer
    x = 5,024.01

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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.