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Finding the Fourth Proportional to 3,107.64, 4,622.91 and 3,076.32

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Solution

The fourth proportional to 3,107.64, 4,622.91 and 3,076.32 is: 4,576.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.64 : 4,622.91 = 3,076.32 : x
  2. Step 2: Convert to fraction form
    3,107.64/4,622.91 = 3,076.32/x
  3. Step 3: Cross multiply
    3,107.64x = 4,622.91 × 3,076.32
  4. Step 4: Simplify right side
    3,107.64x = 14,221,550.49
  5. Step 5: Solve for x
    x = 14,221,550.49/3,107.64
  6. Step 6: Final answer
    x = 4,576.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.