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Finding the Fourth Proportional to 4,941.76, 7,412.64 and 3,412.48

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Solution

The fourth proportional to 4,941.76, 7,412.64 and 3,412.48 is: 5,118.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.76 : 7,412.64 = 3,412.48 : x
  2. Step 2: Convert to fraction form
    4,941.76/7,412.64 = 3,412.48/x
  3. Step 3: Cross multiply
    4,941.76x = 7,412.64 × 3,412.48
  4. Step 4: Simplify right side
    4,941.76x = 25,295,485.75
  5. Step 5: Solve for x
    x = 25,295,485.75/4,941.76
  6. Step 6: Final answer
    x = 5,118.72

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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.