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Finding the Fourth Proportional to 4,178.00, 6,267.72 and 1,404.94

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Solution

The fourth proportional to 4,178.00, 6,267.72 and 1,404.94 is: 2,107.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,178.00 : 6,267.72 = 1,404.94 : x
  2. Step 2: Convert to fraction form
    4,178.00/6,267.72 = 1,404.94/x
  3. Step 3: Cross multiply
    4,178.00x = 6,267.72 × 1,404.94
  4. Step 4: Simplify right side
    4,178.00x = 8,805,732.17
  5. Step 5: Solve for x
    x = 8,805,732.17/4,178.00
  6. Step 6: Final answer
    x = 2,107.65

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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.