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Finding the Fourth Proportional to 5,429.09, 7,493.41 and 3,071.99

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Solution

The fourth proportional to 5,429.09, 7,493.41 and 3,071.99 is: 4,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.09 : 7,493.41 = 3,071.99 : x
  2. Step 2: Convert to fraction form
    5,429.09/7,493.41 = 3,071.99/x
  3. Step 3: Cross multiply
    5,429.09x = 7,493.41 × 3,071.99
  4. Step 4: Simplify right side
    5,429.09x = 23,019,703.16
  5. Step 5: Solve for x
    x = 23,019,703.16/5,429.09
  6. Step 6: Final answer
    x = 4,240.06

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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.