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Finding the Fourth Proportional to 3,993.03, 5,989.14 and 1,071.63

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Solution

The fourth proportional to 3,993.03, 5,989.14 and 1,071.63 is: 1,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.03 : 5,989.14 = 1,071.63 : x
  2. Step 2: Convert to fraction form
    3,993.03/5,989.14 = 1,071.63/x
  3. Step 3: Cross multiply
    3,993.03x = 5,989.14 × 1,071.63
  4. Step 4: Simplify right side
    3,993.03x = 6,418,142.10
  5. Step 5: Solve for x
    x = 6,418,142.10/3,993.03
  6. Step 6: Final answer
    x = 1,607.34

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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.