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Finding the Fourth Proportional to 3,543.31, 5,314.90 and 1,234.75

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Solution

The fourth proportional to 3,543.31, 5,314.90 and 1,234.75 is: 1,852.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.31 : 5,314.90 = 1,234.75 : x
  2. Step 2: Convert to fraction form
    3,543.31/5,314.90 = 1,234.75/x
  3. Step 3: Cross multiply
    3,543.31x = 5,314.90 × 1,234.75
  4. Step 4: Simplify right side
    3,543.31x = 6,562,572.78
  5. Step 5: Solve for x
    x = 6,562,572.78/3,543.31
  6. Step 6: Final answer
    x = 1,852.10

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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.