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Finding the Fourth Proportional to 3,804.56, 5,707.74 and 1,207.50

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Solution

The fourth proportional to 3,804.56, 5,707.74 and 1,207.50 is: 1,811.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,804.56 : 5,707.74 = 1,207.50 : x
  2. Step 2: Convert to fraction form
    3,804.56/5,707.74 = 1,207.50/x
  3. Step 3: Cross multiply
    3,804.56x = 5,707.74 × 1,207.50
  4. Step 4: Simplify right side
    3,804.56x = 6,892,096.05
  5. Step 5: Solve for x
    x = 6,892,096.05/3,804.56
  6. Step 6: Final answer
    x = 1,811.54

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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.