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Finding the Fourth Proportional to 5,013, 6,922.68 and 4,225.68

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Solution

The fourth proportional to 5,013, 6,922.68 and 4,225.68 is: 5,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013 : 6,922.68 = 4,225.68 : x
  2. Step 2: Convert to fraction form
    5,013/6,922.68 = 4,225.68/x
  3. Step 3: Cross multiply
    5,013x = 6,922.68 × 4,225.68
  4. Step 4: Simplify right side
    5,013x = 29,253,030.42
  5. Step 5: Solve for x
    x = 29,253,030.42/5,013
  6. Step 6: Final answer
    x = 5,835.43

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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.