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Finding the Fourth Proportional to 5,083.84, 7,013.16 and 4,384

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Solution

The fourth proportional to 5,083.84, 7,013.16 and 4,384 is: 6,047.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.84 : 7,013.16 = 4,384 : x
  2. Step 2: Convert to fraction form
    5,083.84/7,013.16 = 4,384/x
  3. Step 3: Cross multiply
    5,083.84x = 7,013.16 × 4,384
  4. Step 4: Simplify right side
    5,083.84x = 30,745,693.44
  5. Step 5: Solve for x
    x = 30,745,693.44/5,083.84
  6. Step 6: Final answer
    x = 6,047.73

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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.