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Finding the Fourth Proportional to 5,208.42, 7,180.14 and 3,713.74

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Solution

The fourth proportional to 5,208.42, 7,180.14 and 3,713.74 is: 5,119.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.42 : 7,180.14 = 3,713.74 : x
  2. Step 2: Convert to fraction form
    5,208.42/7,180.14 = 3,713.74/x
  3. Step 3: Cross multiply
    5,208.42x = 7,180.14 × 3,713.74
  4. Step 4: Simplify right side
    5,208.42x = 26,665,173.12
  5. Step 5: Solve for x
    x = 26,665,173.12/5,208.42
  6. Step 6: Final answer
    x = 5,119.63

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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.