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Finding the Fourth Proportional to 3,706.58, 5,115.20 and 2,271.21

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Solution

The fourth proportional to 3,706.58, 5,115.20 and 2,271.21 is: 3,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.58 : 5,115.20 = 2,271.21 : x
  2. Step 2: Convert to fraction form
    3,706.58/5,115.20 = 2,271.21/x
  3. Step 3: Cross multiply
    3,706.58x = 5,115.20 × 2,271.21
  4. Step 4: Simplify right side
    3,706.58x = 11,617,675.63
  5. Step 5: Solve for x
    x = 11,617,675.63/3,706.58
  6. Step 6: Final answer
    x = 3,134.34

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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.