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Finding the Fourth Proportional to 3,658.26, 5,482.62 and 3,194.94

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Solution

The fourth proportional to 3,658.26, 5,482.62 and 3,194.94 is: 4,788.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.26 : 5,482.62 = 3,194.94 : x
  2. Step 2: Convert to fraction form
    3,658.26/5,482.62 = 3,194.94/x
  3. Step 3: Cross multiply
    3,658.26x = 5,482.62 × 3,194.94
  4. Step 4: Simplify right side
    3,658.26x = 17,516,641.94
  5. Step 5: Solve for x
    x = 17,516,641.94/3,658.26
  6. Step 6: Final answer
    x = 4,788.24

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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.