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Finding the Fourth Proportional to 4,064, 5,609.60 and 2,592

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Solution

The fourth proportional to 4,064, 5,609.60 and 2,592 is: 3,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,064 : 5,609.60 = 2,592 : x
  2. Step 2: Convert to fraction form
    4,064/5,609.60 = 2,592/x
  3. Step 3: Cross multiply
    4,064x = 5,609.60 × 2,592
  4. Step 4: Simplify right side
    4,064x = 14,540,083.20
  5. Step 5: Solve for x
    x = 14,540,083.20/4,064
  6. Step 6: Final answer
    x = 3,577.78

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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.