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Finding the Fourth Proportional to 4,699.20, 7,042.67 and 4,202.67

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Solution

The fourth proportional to 4,699.20, 7,042.67 and 4,202.67 is: 6,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,699.20 : 7,042.67 = 4,202.67 : x
  2. Step 2: Convert to fraction form
    4,699.20/7,042.67 = 4,202.67/x
  3. Step 3: Cross multiply
    4,699.20x = 7,042.67 × 4,202.67
  4. Step 4: Simplify right side
    4,699.20x = 29,598,017.93
  5. Step 5: Solve for x
    x = 29,598,017.93/4,699.20
  6. Step 6: Final answer
    x = 6,298.52

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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.