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Finding the Fourth Proportional to 3,497.42, 5,246.41 and 1,523.10

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Solution

The fourth proportional to 3,497.42, 5,246.41 and 1,523.10 is: 2,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.42 : 5,246.41 = 1,523.10 : x
  2. Step 2: Convert to fraction form
    3,497.42/5,246.41 = 1,523.10/x
  3. Step 3: Cross multiply
    3,497.42x = 5,246.41 × 1,523.10
  4. Step 4: Simplify right side
    3,497.42x = 7,990,823.65
  5. Step 5: Solve for x
    x = 7,990,823.65/3,497.42
  6. Step 6: Final answer
    x = 2,284.78

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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.