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Finding the Fourth Proportional to 3,968.66, 5,952.04 and 1,504.64

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Solution

The fourth proportional to 3,968.66, 5,952.04 and 1,504.64 is: 2,256.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.66 : 5,952.04 = 1,504.64 : x
  2. Step 2: Convert to fraction form
    3,968.66/5,952.04 = 1,504.64/x
  3. Step 3: Cross multiply
    3,968.66x = 5,952.04 × 1,504.64
  4. Step 4: Simplify right side
    3,968.66x = 8,955,677.47
  5. Step 5: Solve for x
    x = 8,955,677.47/3,968.66
  6. Step 6: Final answer
    x = 2,256.60

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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.