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Finding the Fourth Proportional to 3,497.42, 4,822.44 and 2,611.74

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Solution

The fourth proportional to 3,497.42, 4,822.44 and 2,611.74 is: 3,601.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.42 : 4,822.44 = 2,611.74 : x
  2. Step 2: Convert to fraction form
    3,497.42/4,822.44 = 2,611.74/x
  3. Step 3: Cross multiply
    3,497.42x = 4,822.44 × 2,611.74
  4. Step 4: Simplify right side
    3,497.42x = 12,594,959.45
  5. Step 5: Solve for x
    x = 12,594,959.45/3,497.42
  6. Step 6: Final answer
    x = 3,601.21

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1.5x scale

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.