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Finding the Fourth Proportional to 5,407.25, 8,096.26 and 2,804.72

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Solution

The fourth proportional to 5,407.25, 8,096.26 and 2,804.72 is: 4,199.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.25 : 8,096.26 = 2,804.72 : x
  2. Step 2: Convert to fraction form
    5,407.25/8,096.26 = 2,804.72/x
  3. Step 3: Cross multiply
    5,407.25x = 8,096.26 × 2,804.72
  4. Step 4: Simplify right side
    5,407.25x = 22,707,742.35
  5. Step 5: Solve for x
    x = 22,707,742.35/5,407.25
  6. Step 6: Final answer
    x = 4,199.50

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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.