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Finding the Fourth Proportional to 4,176.84, 6,270.72 and 2,203.92

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Solution

The fourth proportional to 4,176.84, 6,270.72 and 2,203.92 is: 3,308.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.84 : 6,270.72 = 2,203.92 : x
  2. Step 2: Convert to fraction form
    4,176.84/6,270.72 = 2,203.92/x
  3. Step 3: Cross multiply
    4,176.84x = 6,270.72 × 2,203.92
  4. Step 4: Simplify right side
    4,176.84x = 13,820,165.22
  5. Step 5: Solve for x
    x = 13,820,165.22/4,176.84
  6. Step 6: Final answer
    x = 3,308.76

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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.