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Finding the Fourth Proportional to 4,072.64, 6,107.68 and 1,336

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Solution

The fourth proportional to 4,072.64, 6,107.68 and 1,336 is: 2,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,072.64 : 6,107.68 = 1,336 : x
  2. Step 2: Convert to fraction form
    4,072.64/6,107.68 = 1,336/x
  3. Step 3: Cross multiply
    4,072.64x = 6,107.68 × 1,336
  4. Step 4: Simplify right side
    4,072.64x = 8,159,860.48
  5. Step 5: Solve for x
    x = 8,159,860.48/4,072.64
  6. Step 6: Final answer
    x = 2,003.58

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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.