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Finding the Fourth Proportional to 5,897.68, 8,138.96 and 3,380

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Solution

The fourth proportional to 5,897.68, 8,138.96 and 3,380 is: 4,664.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,897.68 : 8,138.96 = 3,380 : x
  2. Step 2: Convert to fraction form
    5,897.68/8,138.96 = 3,380/x
  3. Step 3: Cross multiply
    5,897.68x = 8,138.96 × 3,380
  4. Step 4: Simplify right side
    5,897.68x = 27,509,684.80
  5. Step 5: Solve for x
    x = 27,509,684.80/5,897.68
  6. Step 6: Final answer
    x = 4,664.49

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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.