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Finding the Fourth Proportional to 5,803.85, 8,009.48 and 3,414.00

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Solution

The fourth proportional to 5,803.85, 8,009.48 and 3,414.00 is: 4,711.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.85 : 8,009.48 = 3,414.00 : x
  2. Step 2: Convert to fraction form
    5,803.85/8,009.48 = 3,414.00/x
  3. Step 3: Cross multiply
    5,803.85x = 8,009.48 × 3,414.00
  4. Step 4: Simplify right side
    5,803.85x = 27,344,344.70
  5. Step 5: Solve for x
    x = 27,344,344.70/5,803.85
  6. Step 6: Final answer
    x = 4,711.41

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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.