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Finding the Fourth Proportional to 4,534.36, 6,796.68 and 2,221

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Solution

The fourth proportional to 4,534.36, 6,796.68 and 2,221 is: 3,329.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.36 : 6,796.68 = 2,221 : x
  2. Step 2: Convert to fraction form
    4,534.36/6,796.68 = 2,221/x
  3. Step 3: Cross multiply
    4,534.36x = 6,796.68 × 2,221
  4. Step 4: Simplify right side
    4,534.36x = 15,095,426.28
  5. Step 5: Solve for x
    x = 15,095,426.28/4,534.36
  6. Step 6: Final answer
    x = 3,329.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.