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Finding the Fourth Proportional to 5,954.02, 8,215.16 and 3,564.76

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Solution

The fourth proportional to 5,954.02, 8,215.16 and 3,564.76 is: 4,918.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.02 : 8,215.16 = 3,564.76 : x
  2. Step 2: Convert to fraction form
    5,954.02/8,215.16 = 3,564.76/x
  3. Step 3: Cross multiply
    5,954.02x = 8,215.16 × 3,564.76
  4. Step 4: Simplify right side
    5,954.02x = 29,285,055.94
  5. Step 5: Solve for x
    x = 29,285,055.94/5,954.02
  6. Step 6: Final answer
    x = 4,918.54

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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.