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Finding the Fourth Proportional to 5,530.75, 7,632.75 and 4,165.57

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Solution

The fourth proportional to 5,530.75, 7,632.75 and 4,165.57 is: 5,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,530.75 : 7,632.75 = 4,165.57 : x
  2. Step 2: Convert to fraction form
    5,530.75/7,632.75 = 4,165.57/x
  3. Step 3: Cross multiply
    5,530.75x = 7,632.75 × 4,165.57
  4. Step 4: Simplify right side
    5,530.75x = 31,794,754.42
  5. Step 5: Solve for x
    x = 31,794,754.42/5,530.75
  6. Step 6: Final answer
    x = 5,748.72

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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.