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Finding the Fourth Proportional to 4,071.94, 5,609.22 and 3,472.48

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Solution

The fourth proportional to 4,071.94, 5,609.22 and 3,472.48 is: 4,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,071.94 : 5,609.22 = 3,472.48 : x
  2. Step 2: Convert to fraction form
    4,071.94/5,609.22 = 3,472.48/x
  3. Step 3: Cross multiply
    4,071.94x = 5,609.22 × 3,472.48
  4. Step 4: Simplify right side
    4,071.94x = 19,477,924.30
  5. Step 5: Solve for x
    x = 19,477,924.30/4,071.94
  6. Step 6: Final answer
    x = 4,783.45

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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.