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Finding the Fourth Proportional to 5,840.10, 8,057.88 and 5,584.95

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Solution

The fourth proportional to 5,840.10, 8,057.88 and 5,584.95 is: 7,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,840.10 : 8,057.88 = 5,584.95 : x
  2. Step 2: Convert to fraction form
    5,840.10/8,057.88 = 5,584.95/x
  3. Step 3: Cross multiply
    5,840.10x = 8,057.88 × 5,584.95
  4. Step 4: Simplify right side
    5,840.10x = 45,002,856.91
  5. Step 5: Solve for x
    x = 45,002,856.91/5,840.10
  6. Step 6: Final answer
    x = 7,705.84

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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.