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Finding the Fourth Proportional to 4,134, 5,705.01 and 2,271

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Solution

The fourth proportional to 4,134, 5,705.01 and 2,271 is: 3,134.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134 : 5,705.01 = 2,271 : x
  2. Step 2: Convert to fraction form
    4,134/5,705.01 = 2,271/x
  3. Step 3: Cross multiply
    4,134x = 5,705.01 × 2,271
  4. Step 4: Simplify right side
    4,134x = 12,956,077.71
  5. Step 5: Solve for x
    x = 12,956,077.71/4,134
  6. Step 6: Final answer
    x = 3,134.03

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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.