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Finding the Fourth Proportional to 5,655.47, 7,804.56 and 3,297.16

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Solution

The fourth proportional to 5,655.47, 7,804.56 and 3,297.16 is: 4,550.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.47 : 7,804.56 = 3,297.16 : x
  2. Step 2: Convert to fraction form
    5,655.47/7,804.56 = 3,297.16/x
  3. Step 3: Cross multiply
    5,655.47x = 7,804.56 × 3,297.16
  4. Step 4: Simplify right side
    5,655.47x = 25,732,883.05
  5. Step 5: Solve for x
    x = 25,732,883.05/5,655.47
  6. Step 6: Final answer
    x = 4,550.09

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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.