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Finding the Fourth Proportional to 5,409.52, 8,114.04 and 3,102.64

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Solution

The fourth proportional to 5,409.52, 8,114.04 and 3,102.64 is: 4,653.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.52 : 8,114.04 = 3,102.64 : x
  2. Step 2: Convert to fraction form
    5,409.52/8,114.04 = 3,102.64/x
  3. Step 3: Cross multiply
    5,409.52x = 8,114.04 × 3,102.64
  4. Step 4: Simplify right side
    5,409.52x = 25,174,945.07
  5. Step 5: Solve for x
    x = 25,174,945.07/5,409.52
  6. Step 6: Final answer
    x = 4,653.82

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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.