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Finding the Fourth Proportional to 6,101.34, 8,419.86 and 3,448.76

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Solution

The fourth proportional to 6,101.34, 8,419.86 and 3,448.76 is: 4,759.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.34 : 8,419.86 = 3,448.76 : x
  2. Step 2: Convert to fraction form
    6,101.34/8,419.86 = 3,448.76/x
  3. Step 3: Cross multiply
    6,101.34x = 8,419.86 × 3,448.76
  4. Step 4: Simplify right side
    6,101.34x = 29,038,076.37
  5. Step 5: Solve for x
    x = 29,038,076.37/6,101.34
  6. Step 6: Final answer
    x = 4,759.29

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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.