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Finding the Fourth Proportional to 4,196.54, 6,293.09 and 1,564.22

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Solution

The fourth proportional to 4,196.54, 6,293.09 and 1,564.22 is: 2,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.54 : 6,293.09 = 1,564.22 : x
  2. Step 2: Convert to fraction form
    4,196.54/6,293.09 = 1,564.22/x
  3. Step 3: Cross multiply
    4,196.54x = 6,293.09 × 1,564.22
  4. Step 4: Simplify right side
    4,196.54x = 9,843,796.88
  5. Step 5: Solve for x
    x = 9,843,796.88/4,196.54
  6. Step 6: Final answer
    x = 2,345.69

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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.