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Finding the Fourth Proportional to 3,841.46, 5,764.42 and 1,503.08

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Solution

The fourth proportional to 3,841.46, 5,764.42 and 1,503.08 is: 2,255.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.46 : 5,764.42 = 1,503.08 : x
  2. Step 2: Convert to fraction form
    3,841.46/5,764.42 = 1,503.08/x
  3. Step 3: Cross multiply
    3,841.46x = 5,764.42 × 1,503.08
  4. Step 4: Simplify right side
    3,841.46x = 8,664,384.41
  5. Step 5: Solve for x
    x = 8,664,384.41/3,841.46
  6. Step 6: Final answer
    x = 2,255.49

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1.5x scale

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.