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Finding the Fourth Proportional to 3,959.84, 5,466.64 and 3,698.08

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Solution

The fourth proportional to 3,959.84, 5,466.64 and 3,698.08 is: 5,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,959.84 : 5,466.64 = 3,698.08 : x
  2. Step 2: Convert to fraction form
    3,959.84/5,466.64 = 3,698.08/x
  3. Step 3: Cross multiply
    3,959.84x = 5,466.64 × 3,698.08
  4. Step 4: Simplify right side
    3,959.84x = 20,216,072.05
  5. Step 5: Solve for x
    x = 20,216,072.05/3,959.84
  6. Step 6: Final answer
    x = 5,105.27

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1.5x scale

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.