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Finding the Fourth Proportional to 3,392.25, 5,088.22 and 893.38

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Solution

The fourth proportional to 3,392.25, 5,088.22 and 893.38 is: 1,340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.25 : 5,088.22 = 893.38 : x
  2. Step 2: Convert to fraction form
    3,392.25/5,088.22 = 893.38/x
  3. Step 3: Cross multiply
    3,392.25x = 5,088.22 × 893.38
  4. Step 4: Simplify right side
    3,392.25x = 4,545,709.52
  5. Step 5: Solve for x
    x = 4,545,709.52/3,392.25
  6. Step 6: Final answer
    x = 1,340.03

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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.