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Finding the Fourth Proportional to 4,733.93, 7,102.43 and 1,447.01

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Solution

The fourth proportional to 4,733.93, 7,102.43 and 1,447.01 is: 2,170.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.93 : 7,102.43 = 1,447.01 : x
  2. Step 2: Convert to fraction form
    4,733.93/7,102.43 = 1,447.01/x
  3. Step 3: Cross multiply
    4,733.93x = 7,102.43 × 1,447.01
  4. Step 4: Simplify right side
    4,733.93x = 10,277,244.49
  5. Step 5: Solve for x
    x = 10,277,244.49/4,733.93
  6. Step 6: Final answer
    x = 2,170.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.