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Finding the Fourth Proportional to 4,730.12, 7,094.74 and 1,444

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Solution

The fourth proportional to 4,730.12, 7,094.74 and 1,444 is: 2,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.12 : 7,094.74 = 1,444 : x
  2. Step 2: Convert to fraction form
    4,730.12/7,094.74 = 1,444/x
  3. Step 3: Cross multiply
    4,730.12x = 7,094.74 × 1,444
  4. Step 4: Simplify right side
    4,730.12x = 10,244,804.56
  5. Step 5: Solve for x
    x = 10,244,804.56/4,730.12
  6. Step 6: Final answer
    x = 2,165.87

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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.