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Finding the Fourth Proportional to 4,129.31, 5,698.06 and 2,450.42

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Solution

The fourth proportional to 4,129.31, 5,698.06 and 2,450.42 is: 3,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.31 : 5,698.06 = 2,450.42 : x
  2. Step 2: Convert to fraction form
    4,129.31/5,698.06 = 2,450.42/x
  3. Step 3: Cross multiply
    4,129.31x = 5,698.06 × 2,450.42
  4. Step 4: Simplify right side
    4,129.31x = 13,962,640.19
  5. Step 5: Solve for x
    x = 13,962,640.19/4,129.31
  6. Step 6: Final answer
    x = 3,381.35

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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.