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Finding the Fourth Proportional to 5,845.82, 8,065.91 and 3,487.50

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Solution

The fourth proportional to 5,845.82, 8,065.91 and 3,487.50 is: 4,811.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.82 : 8,065.91 = 3,487.50 : x
  2. Step 2: Convert to fraction form
    5,845.82/8,065.91 = 3,487.50/x
  3. Step 3: Cross multiply
    5,845.82x = 8,065.91 × 3,487.50
  4. Step 4: Simplify right side
    5,845.82x = 28,129,861.13
  5. Step 5: Solve for x
    x = 28,129,861.13/5,845.82
  6. Step 6: Final answer
    x = 4,811.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.