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Finding the Fourth Proportional to 4,734.14, 7,103.65 and 2,103.46

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Solution

The fourth proportional to 4,734.14, 7,103.65 and 2,103.46 is: 3,156.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,734.14 : 7,103.65 = 2,103.46 : x
  2. Step 2: Convert to fraction form
    4,734.14/7,103.65 = 2,103.46/x
  3. Step 3: Cross multiply
    4,734.14x = 7,103.65 × 2,103.46
  4. Step 4: Simplify right side
    4,734.14x = 14,942,243.63
  5. Step 5: Solve for x
    x = 14,942,243.63/4,734.14
  6. Step 6: Final answer
    x = 3,156.28

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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.