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Finding the Fourth Proportional to 4,612.32, 6,913.44 and 2,665.44

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Solution

The fourth proportional to 4,612.32, 6,913.44 and 2,665.44 is: 3,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,612.32 : 6,913.44 = 2,665.44 : x
  2. Step 2: Convert to fraction form
    4,612.32/6,913.44 = 2,665.44/x
  3. Step 3: Cross multiply
    4,612.32x = 6,913.44 × 2,665.44
  4. Step 4: Simplify right side
    4,612.32x = 18,427,359.51
  5. Step 5: Solve for x
    x = 18,427,359.51/4,612.32
  6. Step 6: Final answer
    x = 3,995.25

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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.