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Finding the Fourth Proportional to 6,100.02, 8,419.14 and 3,448.08

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Solution

The fourth proportional to 6,100.02, 8,419.14 and 3,448.08 is: 4,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.02 : 8,419.14 = 3,448.08 : x
  2. Step 2: Convert to fraction form
    6,100.02/8,419.14 = 3,448.08/x
  3. Step 3: Cross multiply
    6,100.02x = 8,419.14 × 3,448.08
  4. Step 4: Simplify right side
    6,100.02x = 29,029,868.25
  5. Step 5: Solve for x
    x = 29,029,868.25/6,100.02
  6. Step 6: Final answer
    x = 4,758.98

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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.