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Finding the Fourth Proportional to 4,728.40, 7,093.35 and 1,440.73

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Solution

The fourth proportional to 4,728.40, 7,093.35 and 1,440.73 is: 2,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,728.40 : 7,093.35 = 1,440.73 : x
  2. Step 2: Convert to fraction form
    4,728.40/7,093.35 = 1,440.73/x
  3. Step 3: Cross multiply
    4,728.40x = 7,093.35 × 1,440.73
  4. Step 4: Simplify right side
    4,728.40x = 10,219,602.15
  5. Step 5: Solve for x
    x = 10,219,602.15/4,728.40
  6. Step 6: Final answer
    x = 2,161.32

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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.