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Finding the Fourth Proportional to 5,352.84, 8,027.82 and 2,065.32

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Solution

The fourth proportional to 5,352.84, 8,027.82 and 2,065.32 is: 3,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.84 : 8,027.82 = 2,065.32 : x
  2. Step 2: Convert to fraction form
    5,352.84/8,027.82 = 2,065.32/x
  3. Step 3: Cross multiply
    5,352.84x = 8,027.82 × 2,065.32
  4. Step 4: Simplify right side
    5,352.84x = 16,580,017.20
  5. Step 5: Solve for x
    x = 16,580,017.20/5,352.84
  6. Step 6: Final answer
    x = 3,097.42

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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.