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Finding the Fourth Proportional to 3,820.77, 5,267.03 and 2,698.25

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Solution

The fourth proportional to 3,820.77, 5,267.03 and 2,698.25 is: 3,719.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820.77 : 5,267.03 = 2,698.25 : x
  2. Step 2: Convert to fraction form
    3,820.77/5,267.03 = 2,698.25/x
  3. Step 3: Cross multiply
    3,820.77x = 5,267.03 × 2,698.25
  4. Step 4: Simplify right side
    3,820.77x = 14,211,723.87
  5. Step 5: Solve for x
    x = 14,211,723.87/3,820.77
  6. Step 6: Final answer
    x = 3,719.60

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