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Finding the Fourth Proportional to 6,002.96, 8,283.26 and 3,484.67

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Solution

The fourth proportional to 6,002.96, 8,283.26 and 3,484.67 is: 4,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.96 : 8,283.26 = 3,484.67 : x
  2. Step 2: Convert to fraction form
    6,002.96/8,283.26 = 3,484.67/x
  3. Step 3: Cross multiply
    6,002.96x = 8,283.26 × 3,484.67
  4. Step 4: Simplify right side
    6,002.96x = 28,864,394.92
  5. Step 5: Solve for x
    x = 28,864,394.92/6,002.96
  6. Step 6: Final answer
    x = 4,808.36

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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.