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Finding the Fourth Proportional to 4,642.36, 6,961.40 and 2,008.64

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Solution

The fourth proportional to 4,642.36, 6,961.40 and 2,008.64 is: 3,012.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.36 : 6,961.40 = 2,008.64 : x
  2. Step 2: Convert to fraction form
    4,642.36/6,961.40 = 2,008.64/x
  3. Step 3: Cross multiply
    4,642.36x = 6,961.40 × 2,008.64
  4. Step 4: Simplify right side
    4,642.36x = 13,982,946.50
  5. Step 5: Solve for x
    x = 13,982,946.50/4,642.36
  6. Step 6: Final answer
    x = 3,012.03

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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.