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Finding the Fourth Proportional to 5,720.45, 7,894.10 and 3,168.14

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Solution

The fourth proportional to 5,720.45, 7,894.10 and 3,168.14 is: 4,371.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,720.45 : 7,894.10 = 3,168.14 : x
  2. Step 2: Convert to fraction form
    5,720.45/7,894.10 = 3,168.14/x
  3. Step 3: Cross multiply
    5,720.45x = 7,894.10 × 3,168.14
  4. Step 4: Simplify right side
    5,720.45x = 25,009,582.42
  5. Step 5: Solve for x
    x = 25,009,582.42/5,720.45
  6. Step 6: Final answer
    x = 4,371.96

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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.