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Finding the Fourth Proportional to 4,347.42, 5,997.87 and 3,564.78

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Solution

The fourth proportional to 4,347.42, 5,997.87 and 3,564.78 is: 4,918.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.42 : 5,997.87 = 3,564.78 : x
  2. Step 2: Convert to fraction form
    4,347.42/5,997.87 = 3,564.78/x
  3. Step 3: Cross multiply
    4,347.42x = 5,997.87 × 3,564.78
  4. Step 4: Simplify right side
    4,347.42x = 21,381,087.02
  5. Step 5: Solve for x
    x = 21,381,087.02/4,347.42
  6. Step 6: Final answer
    x = 4,918.11

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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.