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Finding the Fourth Proportional to 5,574.26, 7,693.27 and 3,450.47

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Solution

The fourth proportional to 5,574.26, 7,693.27 and 3,450.47 is: 4,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.26 : 7,693.27 = 3,450.47 : x
  2. Step 2: Convert to fraction form
    5,574.26/7,693.27 = 3,450.47/x
  3. Step 3: Cross multiply
    5,574.26x = 7,693.27 × 3,450.47
  4. Step 4: Simplify right side
    5,574.26x = 26,545,407.94
  5. Step 5: Solve for x
    x = 26,545,407.94/5,574.26
  6. Step 6: Final answer
    x = 4,762.14

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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.