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Finding the Fourth Proportional to 5,407.54, 8,112.54 and 2,287.81

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Solution

The fourth proportional to 5,407.54, 8,112.54 and 2,287.81 is: 3,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.54 : 8,112.54 = 2,287.81 : x
  2. Step 2: Convert to fraction form
    5,407.54/8,112.54 = 2,287.81/x
  3. Step 3: Cross multiply
    5,407.54x = 8,112.54 × 2,287.81
  4. Step 4: Simplify right side
    5,407.54x = 18,559,950.14
  5. Step 5: Solve for x
    x = 18,559,950.14/5,407.54
  6. Step 6: Final answer
    x = 3,432.24

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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.