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Finding the Fourth Proportional to 6,102.21, 8,421.03 and 3,307.71

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Solution

The fourth proportional to 6,102.21, 8,421.03 and 3,307.71 is: 4,564.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.21 : 8,421.03 = 3,307.71 : x
  2. Step 2: Convert to fraction form
    6,102.21/8,421.03 = 3,307.71/x
  3. Step 3: Cross multiply
    6,102.21x = 8,421.03 × 3,307.71
  4. Step 4: Simplify right side
    6,102.21x = 27,854,325.14
  5. Step 5: Solve for x
    x = 27,854,325.14/6,102.21
  6. Step 6: Final answer
    x = 4,564.63

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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.