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Finding the Fourth Proportional to 6,002.29, 8,283.10 and 3,313.53

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Solution

The fourth proportional to 6,002.29, 8,283.10 and 3,313.53 is: 4,572.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.29 : 8,283.10 = 3,313.53 : x
  2. Step 2: Convert to fraction form
    6,002.29/8,283.10 = 3,313.53/x
  3. Step 3: Cross multiply
    6,002.29x = 8,283.10 × 3,313.53
  4. Step 4: Simplify right side
    6,002.29x = 27,446,300.34
  5. Step 5: Solve for x
    x = 27,446,300.34/6,002.29
  6. Step 6: Final answer
    x = 4,572.64

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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.