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Finding the Fourth Proportional to 3,862, 5,339.16 and 3,698.80

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Solution

The fourth proportional to 3,862, 5,339.16 and 3,698.80 is: 5,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862 : 5,339.16 = 3,698.80 : x
  2. Step 2: Convert to fraction form
    3,862/5,339.16 = 3,698.80/x
  3. Step 3: Cross multiply
    3,862x = 5,339.16 × 3,698.80
  4. Step 4: Simplify right side
    3,862x = 19,748,485.01
  5. Step 5: Solve for x
    x = 19,748,485.01/3,862
  6. Step 6: Final answer
    x = 5,113.54

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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.