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Finding the Fourth Proportional to 5,820.39, 8,715.69 and 3,840.03

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Solution

The fourth proportional to 5,820.39, 8,715.69 and 3,840.03 is: 5,750.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,820.39 : 8,715.69 = 3,840.03 : x
  2. Step 2: Convert to fraction form
    5,820.39/8,715.69 = 3,840.03/x
  3. Step 3: Cross multiply
    5,820.39x = 8,715.69 × 3,840.03
  4. Step 4: Simplify right side
    5,820.39x = 33,468,511.07
  5. Step 5: Solve for x
    x = 33,468,511.07/5,820.39
  6. Step 6: Final answer
    x = 5,750.22

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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.