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Finding the Fourth Proportional to 3,834.70, 5,290.50 and 2,509.16

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Solution

The fourth proportional to 3,834.70, 5,290.50 and 2,509.16 is: 3,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.70 : 5,290.50 = 2,509.16 : x
  2. Step 2: Convert to fraction form
    3,834.70/5,290.50 = 2,509.16/x
  3. Step 3: Cross multiply
    3,834.70x = 5,290.50 × 2,509.16
  4. Step 4: Simplify right side
    3,834.70x = 13,274,710.98
  5. Step 5: Solve for x
    x = 13,274,710.98/3,834.70
  6. Step 6: Final answer
    x = 3,461.73

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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.