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Finding the Fourth Proportional to 5,112.34, 7,656.90 and 4,521.22

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Solution

The fourth proportional to 5,112.34, 7,656.90 and 4,521.22 is: 6,771.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,112.34 : 7,656.90 = 4,521.22 : x
  2. Step 2: Convert to fraction form
    5,112.34/7,656.90 = 4,521.22/x
  3. Step 3: Cross multiply
    5,112.34x = 7,656.90 × 4,521.22
  4. Step 4: Simplify right side
    5,112.34x = 34,618,529.42
  5. Step 5: Solve for x
    x = 34,618,529.42/5,112.34
  6. Step 6: Final answer
    x = 6,771.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.