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Finding the Fourth Proportional to 3,674.44, 5,070.18 and 2,101.96

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Solution

The fourth proportional to 3,674.44, 5,070.18 and 2,101.96 is: 2,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.44 : 5,070.18 = 2,101.96 : x
  2. Step 2: Convert to fraction form
    3,674.44/5,070.18 = 2,101.96/x
  3. Step 3: Cross multiply
    3,674.44x = 5,070.18 × 2,101.96
  4. Step 4: Simplify right side
    3,674.44x = 10,657,315.55
  5. Step 5: Solve for x
    x = 10,657,315.55/3,674.44
  6. Step 6: Final answer
    x = 2,900.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.