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Finding the Fourth Proportional to 3,435.09, 4,738.68 and 2,174.03

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Solution

The fourth proportional to 3,435.09, 4,738.68 and 2,174.03 is: 2,999.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.09 : 4,738.68 = 2,174.03 : x
  2. Step 2: Convert to fraction form
    3,435.09/4,738.68 = 2,174.03/x
  3. Step 3: Cross multiply
    3,435.09x = 4,738.68 × 2,174.03
  4. Step 4: Simplify right side
    3,435.09x = 10,302,008.79
  5. Step 5: Solve for x
    x = 10,302,008.79/3,435.09
  6. Step 6: Final answer
    x = 2,999.05

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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.