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Finding the Fourth Proportional to 5,104.44, 7,655.46 and 3,252.84

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Solution

The fourth proportional to 5,104.44, 7,655.46 and 3,252.84 is: 4,878.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.44 : 7,655.46 = 3,252.84 : x
  2. Step 2: Convert to fraction form
    5,104.44/7,655.46 = 3,252.84/x
  3. Step 3: Cross multiply
    5,104.44x = 7,655.46 × 3,252.84
  4. Step 4: Simplify right side
    5,104.44x = 24,901,986.51
  5. Step 5: Solve for x
    x = 24,901,986.51/5,104.44
  6. Step 6: Final answer
    x = 4,878.50

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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.