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Finding the Fourth Proportional to 4,733.64, 7,100.46 and 3,090.96

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Solution

The fourth proportional to 4,733.64, 7,100.46 and 3,090.96 is: 4,636.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,733.64 : 7,100.46 = 3,090.96 : x
  2. Step 2: Convert to fraction form
    4,733.64/7,100.46 = 3,090.96/x
  3. Step 3: Cross multiply
    4,733.64x = 7,100.46 × 3,090.96
  4. Step 4: Simplify right side
    4,733.64x = 21,947,237.84
  5. Step 5: Solve for x
    x = 21,947,237.84/4,733.64
  6. Step 6: Final answer
    x = 4,636.44

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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.