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Finding the Fourth Proportional to 4,741.54, 7,113.15 and 1,620.81

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Solution

The fourth proportional to 4,741.54, 7,113.15 and 1,620.81 is: 2,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.54 : 7,113.15 = 1,620.81 : x
  2. Step 2: Convert to fraction form
    4,741.54/7,113.15 = 1,620.81/x
  3. Step 3: Cross multiply
    4,741.54x = 7,113.15 × 1,620.81
  4. Step 4: Simplify right side
    4,741.54x = 11,529,064.65
  5. Step 5: Solve for x
    x = 11,529,064.65/4,741.54
  6. Step 6: Final answer
    x = 2,431.50

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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.