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Finding the Fourth Proportional to 5,386.44, 8,078.76 and 1,491.24

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Solution

The fourth proportional to 5,386.44, 8,078.76 and 1,491.24 is: 2,236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.44 : 8,078.76 = 1,491.24 : x
  2. Step 2: Convert to fraction form
    5,386.44/8,078.76 = 1,491.24/x
  3. Step 3: Cross multiply
    5,386.44x = 8,078.76 × 1,491.24
  4. Step 4: Simplify right side
    5,386.44x = 12,047,370.06
  5. Step 5: Solve for x
    x = 12,047,370.06/5,386.44
  6. Step 6: Final answer
    x = 2,236.61

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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.