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Finding the Fourth Proportional to 3,575.29, 5,362.71 and 1,234.74

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Solution

The fourth proportional to 3,575.29, 5,362.71 and 1,234.74 is: 1,852.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,575.29 : 5,362.71 = 1,234.74 : x
  2. Step 2: Convert to fraction form
    3,575.29/5,362.71 = 1,234.74/x
  3. Step 3: Cross multiply
    3,575.29x = 5,362.71 × 1,234.74
  4. Step 4: Simplify right side
    3,575.29x = 6,621,568.03
  5. Step 5: Solve for x
    x = 6,621,568.03/3,575.29
  6. Step 6: Final answer
    x = 1,852.04

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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.