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Finding the Fourth Proportional to 6,101.56, 8,420.16 and 3,307.06

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Solution

The fourth proportional to 6,101.56, 8,420.16 and 3,307.06 is: 4,563.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.56 : 8,420.16 = 3,307.06 : x
  2. Step 2: Convert to fraction form
    6,101.56/8,420.16 = 3,307.06/x
  3. Step 3: Cross multiply
    6,101.56x = 8,420.16 × 3,307.06
  4. Step 4: Simplify right side
    6,101.56x = 27,845,974.33
  5. Step 5: Solve for x
    x = 27,845,974.33/6,101.56
  6. Step 6: Final answer
    x = 4,563.75

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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.