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Finding the Fourth Proportional to 5,597.82, 7,723.44 and 3,607.65

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Solution

The fourth proportional to 5,597.82, 7,723.44 and 3,607.65 is: 4,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,597.82 : 7,723.44 = 3,607.65 : x
  2. Step 2: Convert to fraction form
    5,597.82/7,723.44 = 3,607.65/x
  3. Step 3: Cross multiply
    5,597.82x = 7,723.44 × 3,607.65
  4. Step 4: Simplify right side
    5,597.82x = 27,863,468.32
  5. Step 5: Solve for x
    x = 27,863,468.32/5,597.82
  6. Step 6: Final answer
    x = 4,977.56

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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.