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Finding the Fourth Proportional to 5,729.67, 7,902.56 and 4,934.39

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Solution

The fourth proportional to 5,729.67, 7,902.56 and 4,934.39 is: 6,805.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.67 : 7,902.56 = 4,934.39 : x
  2. Step 2: Convert to fraction form
    5,729.67/7,902.56 = 4,934.39/x
  3. Step 3: Cross multiply
    5,729.67x = 7,902.56 × 4,934.39
  4. Step 4: Simplify right side
    5,729.67x = 38,994,248.85
  5. Step 5: Solve for x
    x = 38,994,248.85/5,729.67
  6. Step 6: Final answer
    x = 6,805.67

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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.