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Finding the Fourth Proportional to 3,693.94, 5,519.27 and 3,564.74

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Solution

The fourth proportional to 3,693.94, 5,519.27 and 3,564.74 is: 5,326.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.94 : 5,519.27 = 3,564.74 : x
  2. Step 2: Convert to fraction form
    3,693.94/5,519.27 = 3,564.74/x
  3. Step 3: Cross multiply
    3,693.94x = 5,519.27 × 3,564.74
  4. Step 4: Simplify right side
    3,693.94x = 19,674,762.54
  5. Step 5: Solve for x
    x = 19,674,762.54/3,693.94
  6. Step 6: Final answer
    x = 5,326.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.