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Finding the Fourth Proportional to 5,233.46, 7,850.20 and 1,284.74

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Solution

The fourth proportional to 5,233.46, 7,850.20 and 1,284.74 is: 1,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,233.46 : 7,850.20 = 1,284.74 : x
  2. Step 2: Convert to fraction form
    5,233.46/7,850.20 = 1,284.74/x
  3. Step 3: Cross multiply
    5,233.46x = 7,850.20 × 1,284.74
  4. Step 4: Simplify right side
    5,233.46x = 10,085,423.49
  5. Step 5: Solve for x
    x = 10,085,423.49/5,233.46
  6. Step 6: Final answer
    x = 1,927.11

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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.