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Finding the Fourth Proportional to 4,604.34, 6,352.06 and 2,834.92

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Solution

The fourth proportional to 4,604.34, 6,352.06 and 2,834.92 is: 3,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.34 : 6,352.06 = 2,834.92 : x
  2. Step 2: Convert to fraction form
    4,604.34/6,352.06 = 2,834.92/x
  3. Step 3: Cross multiply
    4,604.34x = 6,352.06 × 2,834.92
  4. Step 4: Simplify right side
    4,604.34x = 18,007,581.94
  5. Step 5: Solve for x
    x = 18,007,581.94/4,604.34
  6. Step 6: Final answer
    x = 3,911.00

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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.