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Finding the Fourth Proportional to 5,047.34, 6,964.16 and 3,057.46

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Solution

The fourth proportional to 5,047.34, 6,964.16 and 3,057.46 is: 4,218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.34 : 6,964.16 = 3,057.46 : x
  2. Step 2: Convert to fraction form
    5,047.34/6,964.16 = 3,057.46/x
  3. Step 3: Cross multiply
    5,047.34x = 6,964.16 × 3,057.46
  4. Step 4: Simplify right side
    5,047.34x = 21,292,607.94
  5. Step 5: Solve for x
    x = 21,292,607.94/5,047.34
  6. Step 6: Final answer
    x = 4,218.58

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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.