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Finding the Fourth Proportional to 4,741.76, 7,106.52 and 2,271.44

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Solution

The fourth proportional to 4,741.76, 7,106.52 and 2,271.44 is: 3,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.76 : 7,106.52 = 2,271.44 : x
  2. Step 2: Convert to fraction form
    4,741.76/7,106.52 = 2,271.44/x
  3. Step 3: Cross multiply
    4,741.76x = 7,106.52 × 2,271.44
  4. Step 4: Simplify right side
    4,741.76x = 16,142,033.79
  5. Step 5: Solve for x
    x = 16,142,033.79/4,741.76
  6. Step 6: Final answer
    x = 3,404.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.