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Finding the Fourth Proportional to 5,059.40, 6,981.94 and 2,821.30

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Solution

The fourth proportional to 5,059.40, 6,981.94 and 2,821.30 is: 3,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.40 : 6,981.94 = 2,821.30 : x
  2. Step 2: Convert to fraction form
    5,059.40/6,981.94 = 2,821.30/x
  3. Step 3: Cross multiply
    5,059.40x = 6,981.94 × 2,821.30
  4. Step 4: Simplify right side
    5,059.40x = 19,698,172.67
  5. Step 5: Solve for x
    x = 19,698,172.67/5,059.40
  6. Step 6: Final answer
    x = 3,893.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.