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Finding the Fourth Proportional to 5,705.52, 7,855.32 and 4,969.20

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Solution

The fourth proportional to 5,705.52, 7,855.32 and 4,969.20 is: 6,841.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.52 : 7,855.32 = 4,969.20 : x
  2. Step 2: Convert to fraction form
    5,705.52/7,855.32 = 4,969.20/x
  3. Step 3: Cross multiply
    5,705.52x = 7,855.32 × 4,969.20
  4. Step 4: Simplify right side
    5,705.52x = 39,034,656.14
  5. Step 5: Solve for x
    x = 39,034,656.14/5,705.52
  6. Step 6: Final answer
    x = 6,841.56

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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.