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Finding the Fourth Proportional to 5,985.40, 8,993.94 and 3,214.12

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Solution

The fourth proportional to 5,985.40, 8,993.94 and 3,214.12 is: 4,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.40 : 8,993.94 = 3,214.12 : x
  2. Step 2: Convert to fraction form
    5,985.40/8,993.94 = 3,214.12/x
  3. Step 3: Cross multiply
    5,985.40x = 8,993.94 × 3,214.12
  4. Step 4: Simplify right side
    5,985.40x = 28,907,602.43
  5. Step 5: Solve for x
    x = 28,907,602.43/5,985.40
  6. Step 6: Final answer
    x = 4,829.69

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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.