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Finding the Fourth Proportional to 3,735.70, 5,151.83 and 2,459.03

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Solution

The fourth proportional to 3,735.70, 5,151.83 and 2,459.03 is: 3,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,735.70 : 5,151.83 = 2,459.03 : x
  2. Step 2: Convert to fraction form
    3,735.70/5,151.83 = 2,459.03/x
  3. Step 3: Cross multiply
    3,735.70x = 5,151.83 × 2,459.03
  4. Step 4: Simplify right side
    3,735.70x = 12,668,505.11
  5. Step 5: Solve for x
    x = 12,668,505.11/3,735.70
  6. Step 6: Final answer
    x = 3,391.20

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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.