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Finding the Fourth Proportional to 5,844.17, 8,763 and 1,946.45

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Solution

The fourth proportional to 5,844.17, 8,763 and 1,946.45 is: 2,918.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,844.17 : 8,763 = 1,946.45 : x
  2. Step 2: Convert to fraction form
    5,844.17/8,763 = 1,946.45/x
  3. Step 3: Cross multiply
    5,844.17x = 8,763 × 1,946.45
  4. Step 4: Simplify right side
    5,844.17x = 17,056,697.54
  5. Step 5: Solve for x
    x = 17,056,697.54/5,844.17
  6. Step 6: Final answer
    x = 2,918.59

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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.