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Finding the Fourth Proportional to 4,736.02, 7,104.04 and 3,001

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Solution

The fourth proportional to 4,736.02, 7,104.04 and 3,001 is: 4,501.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.02 : 7,104.04 = 3,001 : x
  2. Step 2: Convert to fraction form
    4,736.02/7,104.04 = 3,001/x
  3. Step 3: Cross multiply
    4,736.02x = 7,104.04 × 3,001
  4. Step 4: Simplify right side
    4,736.02x = 21,319,224.04
  5. Step 5: Solve for x
    x = 21,319,224.04/4,736.02
  6. Step 6: Final answer
    x = 4,501.51

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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.