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Finding the Fourth Proportional to 5,592, 8,384.76 and 1,893.54

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Solution

The fourth proportional to 5,592, 8,384.76 and 1,893.54 is: 2,839.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,592 : 8,384.76 = 1,893.54 : x
  2. Step 2: Convert to fraction form
    5,592/8,384.76 = 1,893.54/x
  3. Step 3: Cross multiply
    5,592x = 8,384.76 × 1,893.54
  4. Step 4: Simplify right side
    5,592x = 15,876,878.45
  5. Step 5: Solve for x
    x = 15,876,878.45/5,592
  6. Step 6: Final answer
    x = 2,839.21

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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.