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Finding the Fourth Proportional to 5,234.37, 7,852.25 and 1,902.88

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Solution

The fourth proportional to 5,234.37, 7,852.25 and 1,902.88 is: 2,854.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.37 : 7,852.25 = 1,902.88 : x
  2. Step 2: Convert to fraction form
    5,234.37/7,852.25 = 1,902.88/x
  3. Step 3: Cross multiply
    5,234.37x = 7,852.25 × 1,902.88
  4. Step 4: Simplify right side
    5,234.37x = 14,941,889.48
  5. Step 5: Solve for x
    x = 14,941,889.48/5,234.37
  6. Step 6: Final answer
    x = 2,854.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.