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Finding the Fourth Proportional to 5,356.54, 8,034.81 and 1,894.06

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Solution

The fourth proportional to 5,356.54, 8,034.81 and 1,894.06 is: 2,841.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.54 : 8,034.81 = 1,894.06 : x
  2. Step 2: Convert to fraction form
    5,356.54/8,034.81 = 1,894.06/x
  3. Step 3: Cross multiply
    5,356.54x = 8,034.81 × 1,894.06
  4. Step 4: Simplify right side
    5,356.54x = 15,218,412.23
  5. Step 5: Solve for x
    x = 15,218,412.23/5,356.54
  6. Step 6: Final answer
    x = 2,841.09

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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.