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Finding the Fourth Proportional to 5,730.64, 7,908.24 and 3,246.64

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Solution

The fourth proportional to 5,730.64, 7,908.24 and 3,246.64 is: 4,480.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.64 : 7,908.24 = 3,246.64 : x
  2. Step 2: Convert to fraction form
    5,730.64/7,908.24 = 3,246.64/x
  3. Step 3: Cross multiply
    5,730.64x = 7,908.24 × 3,246.64
  4. Step 4: Simplify right side
    5,730.64x = 25,675,208.31
  5. Step 5: Solve for x
    x = 25,675,208.31/5,730.64
  6. Step 6: Final answer
    x = 4,480.34

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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.