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Finding the Fourth Proportional to 5,164.41, 7,129.83 and 3,401.14

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Solution

The fourth proportional to 5,164.41, 7,129.83 and 3,401.14 is: 4,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.41 : 7,129.83 = 3,401.14 : x
  2. Step 2: Convert to fraction form
    5,164.41/7,129.83 = 3,401.14/x
  3. Step 3: Cross multiply
    5,164.41x = 7,129.83 × 3,401.14
  4. Step 4: Simplify right side
    5,164.41x = 24,249,550.01
  5. Step 5: Solve for x
    x = 24,249,550.01/5,164.41
  6. Step 6: Final answer
    x = 4,695.51

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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.