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Finding the Fourth Proportional to 5,082.19, 7,626.25 and 3,698.00

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Solution

The fourth proportional to 5,082.19, 7,626.25 and 3,698.00 is: 5,549.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.19 : 7,626.25 = 3,698.00 : x
  2. Step 2: Convert to fraction form
    5,082.19/7,626.25 = 3,698.00/x
  3. Step 3: Cross multiply
    5,082.19x = 7,626.25 × 3,698.00
  4. Step 4: Simplify right side
    5,082.19x = 28,201,910.49
  5. Step 5: Solve for x
    x = 28,201,910.49/5,082.19
  6. Step 6: Final answer
    x = 5,549.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.