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Finding the Fourth Proportional to 3,568.61, 4,926.05 and 3,194.93

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Solution

The fourth proportional to 3,568.61, 4,926.05 and 3,194.93 is: 4,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.61 : 4,926.05 = 3,194.93 : x
  2. Step 2: Convert to fraction form
    3,568.61/4,926.05 = 3,194.93/x
  3. Step 3: Cross multiply
    3,568.61x = 4,926.05 × 3,194.93
  4. Step 4: Simplify right side
    3,568.61x = 15,738,384.93
  5. Step 5: Solve for x
    x = 15,738,384.93/3,568.61
  6. Step 6: Final answer
    x = 4,410.23

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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.