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Finding the Fourth Proportional to 5,412.59, 8,106.11 and 4,234.34

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Solution

The fourth proportional to 5,412.59, 8,106.11 and 4,234.34 is: 6,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412.59 : 8,106.11 = 4,234.34 : x
  2. Step 2: Convert to fraction form
    5,412.59/8,106.11 = 4,234.34/x
  3. Step 3: Cross multiply
    5,412.59x = 8,106.11 × 4,234.34
  4. Step 4: Simplify right side
    5,412.59x = 34,324,040.79
  5. Step 5: Solve for x
    x = 34,324,040.79/5,412.59
  6. Step 6: Final answer
    x = 6,341.52

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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.