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Finding the Fourth Proportional to 5,230.66, 7,202.34 and 4,812.70

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Solution

The fourth proportional to 5,230.66, 7,202.34 and 4,812.70 is: 6,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.66 : 7,202.34 = 4,812.70 : x
  2. Step 2: Convert to fraction form
    5,230.66/7,202.34 = 4,812.70/x
  3. Step 3: Cross multiply
    5,230.66x = 7,202.34 × 4,812.70
  4. Step 4: Simplify right side
    5,230.66x = 34,662,701.72
  5. Step 5: Solve for x
    x = 34,662,701.72/5,230.66
  6. Step 6: Final answer
    x = 6,626.83

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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.