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Finding the Fourth Proportional to 5,283.86, 7,927.05 and 1,821.14

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Solution

The fourth proportional to 5,283.86, 7,927.05 and 1,821.14 is: 2,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,283.86 : 7,927.05 = 1,821.14 : x
  2. Step 2: Convert to fraction form
    5,283.86/7,927.05 = 1,821.14/x
  3. Step 3: Cross multiply
    5,283.86x = 7,927.05 × 1,821.14
  4. Step 4: Simplify right side
    5,283.86x = 14,436,267.84
  5. Step 5: Solve for x
    x = 14,436,267.84/5,283.86
  6. Step 6: Final answer
    x = 2,732.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.