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Finding the Fourth Proportional to 3,674.86, 5,069.86 and 2,102.11

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Solution

The fourth proportional to 3,674.86, 5,069.86 and 2,102.11 is: 2,900.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.86 : 5,069.86 = 2,102.11 : x
  2. Step 2: Convert to fraction form
    3,674.86/5,069.86 = 2,102.11/x
  3. Step 3: Cross multiply
    3,674.86x = 5,069.86 × 2,102.11
  4. Step 4: Simplify right side
    3,674.86x = 10,657,403.40
  5. Step 5: Solve for x
    x = 10,657,403.40/3,674.86
  6. Step 6: Final answer
    x = 2,900.08

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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.