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Finding the Fourth Proportional to 3,456.99, 4,769.88 and 2,196.54

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Solution

The fourth proportional to 3,456.99, 4,769.88 and 2,196.54 is: 3,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.99 : 4,769.88 = 2,196.54 : x
  2. Step 2: Convert to fraction form
    3,456.99/4,769.88 = 2,196.54/x
  3. Step 3: Cross multiply
    3,456.99x = 4,769.88 × 2,196.54
  4. Step 4: Simplify right side
    3,456.99x = 10,477,232.22
  5. Step 5: Solve for x
    x = 10,477,232.22/3,456.99
  6. Step 6: Final answer
    x = 3,030.74

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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.