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Finding the Fourth Proportional to 5,812.84, 8,023.84 and 3,577.72

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Solution

The fourth proportional to 5,812.84, 8,023.84 and 3,577.72 is: 4,938.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,812.84 : 8,023.84 = 3,577.72 : x
  2. Step 2: Convert to fraction form
    5,812.84/8,023.84 = 3,577.72/x
  3. Step 3: Cross multiply
    5,812.84x = 8,023.84 × 3,577.72
  4. Step 4: Simplify right side
    5,812.84x = 28,707,052.84
  5. Step 5: Solve for x
    x = 28,707,052.84/5,812.84
  6. Step 6: Final answer
    x = 4,938.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.