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Finding the Fourth Proportional to 5,643.27, 8,462.01 and 2,355.48

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Solution

The fourth proportional to 5,643.27, 8,462.01 and 2,355.48 is: 3,532.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.27 : 8,462.01 = 2,355.48 : x
  2. Step 2: Convert to fraction form
    5,643.27/8,462.01 = 2,355.48/x
  3. Step 3: Cross multiply
    5,643.27x = 8,462.01 × 2,355.48
  4. Step 4: Simplify right side
    5,643.27x = 19,932,053.00
  5. Step 5: Solve for x
    x = 19,932,053.00/5,643.27
  6. Step 6: Final answer
    x = 3,532.01

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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.