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Finding the Fourth Proportional to 6,177.84, 8,525.34 and 3,383.40

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Solution

The fourth proportional to 6,177.84, 8,525.34 and 3,383.40 is: 4,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.84 : 8,525.34 = 3,383.40 : x
  2. Step 2: Convert to fraction form
    6,177.84/8,525.34 = 3,383.40/x
  3. Step 3: Cross multiply
    6,177.84x = 8,525.34 × 3,383.40
  4. Step 4: Simplify right side
    6,177.84x = 28,844,635.36
  5. Step 5: Solve for x
    x = 28,844,635.36/6,177.84
  6. Step 6: Final answer
    x = 4,669.05

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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.