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Finding the Fourth Proportional to 5,670.43, 7,824.33 and 3,152.56

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Solution

The fourth proportional to 5,670.43, 7,824.33 and 3,152.56 is: 4,350.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.43 : 7,824.33 = 3,152.56 : x
  2. Step 2: Convert to fraction form
    5,670.43/7,824.33 = 3,152.56/x
  3. Step 3: Cross multiply
    5,670.43x = 7,824.33 × 3,152.56
  4. Step 4: Simplify right side
    5,670.43x = 24,666,650.22
  5. Step 5: Solve for x
    x = 24,666,650.22/5,670.43
  6. Step 6: Final answer
    x = 4,350.05

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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.