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Finding the Fourth Proportional to 5,670.11, 7,824.82 and 3,152.37

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Solution

The fourth proportional to 5,670.11, 7,824.82 and 3,152.37 is: 4,350.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.11 : 7,824.82 = 3,152.37 : x
  2. Step 2: Convert to fraction form
    5,670.11/7,824.82 = 3,152.37/x
  3. Step 3: Cross multiply
    5,670.11x = 7,824.82 × 3,152.37
  4. Step 4: Simplify right side
    5,670.11x = 24,666,727.82
  5. Step 5: Solve for x
    x = 24,666,727.82/5,670.11
  6. Step 6: Final answer
    x = 4,350.31

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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.