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Finding the Fourth Proportional to 5,604.72, 8,407.08 and 2,142.78

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Solution

The fourth proportional to 5,604.72, 8,407.08 and 2,142.78 is: 3,214.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.72 : 8,407.08 = 2,142.78 : x
  2. Step 2: Convert to fraction form
    5,604.72/8,407.08 = 2,142.78/x
  3. Step 3: Cross multiply
    5,604.72x = 8,407.08 × 2,142.78
  4. Step 4: Simplify right side
    5,604.72x = 18,014,522.88
  5. Step 5: Solve for x
    x = 18,014,522.88/5,604.72
  6. Step 6: Final answer
    x = 3,214.17

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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.