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Finding the Fourth Proportional to 6,102.20, 8,421.04 and 3,307.68

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Solution

The fourth proportional to 6,102.20, 8,421.04 and 3,307.68 is: 4,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.20 : 8,421.04 = 3,307.68 : x
  2. Step 2: Convert to fraction form
    6,102.20/8,421.04 = 3,307.68/x
  3. Step 3: Cross multiply
    6,102.20x = 8,421.04 × 3,307.68
  4. Step 4: Simplify right side
    6,102.20x = 27,854,105.59
  5. Step 5: Solve for x
    x = 27,854,105.59/6,102.20
  6. Step 6: Final answer
    x = 4,564.60

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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.