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Finding the Fourth Proportional to 4,101.84, 5,662.48 and 3,094

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Solution

The fourth proportional to 4,101.84, 5,662.48 and 3,094 is: 4,271.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.84 : 5,662.48 = 3,094 : x
  2. Step 2: Convert to fraction form
    4,101.84/5,662.48 = 3,094/x
  3. Step 3: Cross multiply
    4,101.84x = 5,662.48 × 3,094
  4. Step 4: Simplify right side
    4,101.84x = 17,519,713.12
  5. Step 5: Solve for x
    x = 17,519,713.12/4,101.84
  6. Step 6: Final answer
    x = 4,271.18

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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.