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Finding the Fourth Proportional to 5,738.36, 7,921.56 and 4,411.60

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Solution

The fourth proportional to 5,738.36, 7,921.56 and 4,411.60 is: 6,090.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.36 : 7,921.56 = 4,411.60 : x
  2. Step 2: Convert to fraction form
    5,738.36/7,921.56 = 4,411.60/x
  3. Step 3: Cross multiply
    5,738.36x = 7,921.56 × 4,411.60
  4. Step 4: Simplify right side
    5,738.36x = 34,946,754.10
  5. Step 5: Solve for x
    x = 34,946,754.10/5,738.36
  6. Step 6: Final answer
    x = 6,090.02

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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.