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Finding the Fourth Proportional to 3,966.48, 5,474.34 and 3,302.28

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Solution

The fourth proportional to 3,966.48, 5,474.34 and 3,302.28 is: 4,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.48 : 5,474.34 = 3,302.28 : x
  2. Step 2: Convert to fraction form
    3,966.48/5,474.34 = 3,302.28/x
  3. Step 3: Cross multiply
    3,966.48x = 5,474.34 × 3,302.28
  4. Step 4: Simplify right side
    3,966.48x = 18,077,803.50
  5. Step 5: Solve for x
    x = 18,077,803.50/3,966.48
  6. Step 6: Final answer
    x = 4,557.64

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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.