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Finding the Fourth Proportional to 4,553.84, 6,284.31 and 2,564.42

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Solution

The fourth proportional to 4,553.84, 6,284.31 and 2,564.42 is: 3,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.84 : 6,284.31 = 2,564.42 : x
  2. Step 2: Convert to fraction form
    4,553.84/6,284.31 = 2,564.42/x
  3. Step 3: Cross multiply
    4,553.84x = 6,284.31 × 2,564.42
  4. Step 4: Simplify right side
    4,553.84x = 16,115,610.25
  5. Step 5: Solve for x
    x = 16,115,610.25/4,553.84
  6. Step 6: Final answer
    x = 3,538.91

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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.