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Finding the Fourth Proportional to 4,825.74, 7,234.41 and 1,903.32

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Solution

The fourth proportional to 4,825.74, 7,234.41 and 1,903.32 is: 2,853.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,825.74 : 7,234.41 = 1,903.32 : x
  2. Step 2: Convert to fraction form
    4,825.74/7,234.41 = 1,903.32/x
  3. Step 3: Cross multiply
    4,825.74x = 7,234.41 × 1,903.32
  4. Step 4: Simplify right side
    4,825.74x = 13,769,397.24
  5. Step 5: Solve for x
    x = 13,769,397.24/4,825.74
  6. Step 6: Final answer
    x = 2,853.32

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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.