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Finding the Fourth Proportional to 3,497.74, 5,244.35 and 1,855.06

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Solution

The fourth proportional to 3,497.74, 5,244.35 and 1,855.06 is: 2,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.74 : 5,244.35 = 1,855.06 : x
  2. Step 2: Convert to fraction form
    3,497.74/5,244.35 = 1,855.06/x
  3. Step 3: Cross multiply
    3,497.74x = 5,244.35 × 1,855.06
  4. Step 4: Simplify right side
    3,497.74x = 9,728,583.91
  5. Step 5: Solve for x
    x = 9,728,583.91/3,497.74
  6. Step 6: Final answer
    x = 2,781.39

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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.