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Finding the Fourth Proportional to 5,231.30, 7,850 and 1,946.70

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Solution

The fourth proportional to 5,231.30, 7,850 and 1,946.70 is: 2,921.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,231.30 : 7,850 = 1,946.70 : x
  2. Step 2: Convert to fraction form
    5,231.30/7,850 = 1,946.70/x
  3. Step 3: Cross multiply
    5,231.30x = 7,850 × 1,946.70
  4. Step 4: Simplify right side
    5,231.30x = 15,281,595
  5. Step 5: Solve for x
    x = 15,281,595/5,231.30
  6. Step 6: Final answer
    x = 2,921.18

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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.