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Finding the Fourth Proportional to 5,107.01, 7,049.46 and 3,011

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Solution

The fourth proportional to 5,107.01, 7,049.46 and 3,011 is: 4,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,107.01 : 7,049.46 = 3,011 : x
  2. Step 2: Convert to fraction form
    5,107.01/7,049.46 = 3,011/x
  3. Step 3: Cross multiply
    5,107.01x = 7,049.46 × 3,011
  4. Step 4: Simplify right side
    5,107.01x = 21,225,924.06
  5. Step 5: Solve for x
    x = 21,225,924.06/5,107.01
  6. Step 6: Final answer
    x = 4,156.23

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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.