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Finding the Fourth Proportional to 5,656.24, 7,804.20 and 3,297.52

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Solution

The fourth proportional to 5,656.24, 7,804.20 and 3,297.52 is: 4,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.24 : 7,804.20 = 3,297.52 : x
  2. Step 2: Convert to fraction form
    5,656.24/7,804.20 = 3,297.52/x
  3. Step 3: Cross multiply
    5,656.24x = 7,804.20 × 3,297.52
  4. Step 4: Simplify right side
    5,656.24x = 25,734,505.58
  5. Step 5: Solve for x
    x = 25,734,505.58/5,656.24
  6. Step 6: Final answer
    x = 4,549.75

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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.