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Finding the Fourth Proportional to 5,367.48, 7,409.12 and 4,806.96

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Solution

The fourth proportional to 5,367.48, 7,409.12 and 4,806.96 is: 6,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367.48 : 7,409.12 = 4,806.96 : x
  2. Step 2: Convert to fraction form
    5,367.48/7,409.12 = 4,806.96/x
  3. Step 3: Cross multiply
    5,367.48x = 7,409.12 × 4,806.96
  4. Step 4: Simplify right side
    5,367.48x = 35,615,343.48
  5. Step 5: Solve for x
    x = 35,615,343.48/5,367.48
  6. Step 6: Final answer
    x = 6,635.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.