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Finding the Fourth Proportional to 5,703.56, 7,872.72 and 3,818.36

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Solution

The fourth proportional to 5,703.56, 7,872.72 and 3,818.36 is: 5,270.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.56 : 7,872.72 = 3,818.36 : x
  2. Step 2: Convert to fraction form
    5,703.56/7,872.72 = 3,818.36/x
  3. Step 3: Cross multiply
    5,703.56x = 7,872.72 × 3,818.36
  4. Step 4: Simplify right side
    5,703.56x = 30,060,879.14
  5. Step 5: Solve for x
    x = 30,060,879.14/5,703.56
  6. Step 6: Final answer
    x = 5,270.55

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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.