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Finding the Fourth Proportional to 6,409.80, 8,845.56 and 3,615.48

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Solution

The fourth proportional to 6,409.80, 8,845.56 and 3,615.48 is: 4,989.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.80 : 8,845.56 = 3,615.48 : x
  2. Step 2: Convert to fraction form
    6,409.80/8,845.56 = 3,615.48/x
  3. Step 3: Cross multiply
    6,409.80x = 8,845.56 × 3,615.48
  4. Step 4: Simplify right side
    6,409.80x = 31,980,945.27
  5. Step 5: Solve for x
    x = 31,980,945.27/6,409.80
  6. Step 6: Final answer
    x = 4,989.38

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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.