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Finding the Fourth Proportional to 5,800.56, 7,996.35 and 3,807.63

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Solution

The fourth proportional to 5,800.56, 7,996.35 and 3,807.63 is: 5,249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.56 : 7,996.35 = 3,807.63 : x
  2. Step 2: Convert to fraction form
    5,800.56/7,996.35 = 3,807.63/x
  3. Step 3: Cross multiply
    5,800.56x = 7,996.35 × 3,807.63
  4. Step 4: Simplify right side
    5,800.56x = 30,447,142.15
  5. Step 5: Solve for x
    x = 30,447,142.15/5,800.56
  6. Step 6: Final answer
    x = 5,249.00

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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.