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Finding the Fourth Proportional to 4,483.84, 6,729 and 2,021.44

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Solution

The fourth proportional to 4,483.84, 6,729 and 2,021.44 is: 3,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,483.84 : 6,729 = 2,021.44 : x
  2. Step 2: Convert to fraction form
    4,483.84/6,729 = 2,021.44/x
  3. Step 3: Cross multiply
    4,483.84x = 6,729 × 2,021.44
  4. Step 4: Simplify right side
    4,483.84x = 13,602,269.76
  5. Step 5: Solve for x
    x = 13,602,269.76/4,483.84
  6. Step 6: Final answer
    x = 3,033.62

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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.