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Finding the Fourth Proportional to 4,107.84, 6,161.76 and 2,375.52

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Solution

The fourth proportional to 4,107.84, 6,161.76 and 2,375.52 is: 3,563.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.84 : 6,161.76 = 2,375.52 : x
  2. Step 2: Convert to fraction form
    4,107.84/6,161.76 = 2,375.52/x
  3. Step 3: Cross multiply
    4,107.84x = 6,161.76 × 2,375.52
  4. Step 4: Simplify right side
    4,107.84x = 14,637,384.12
  5. Step 5: Solve for x
    x = 14,637,384.12/4,107.84
  6. Step 6: Final answer
    x = 3,563.28

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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.