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Finding the Fourth Proportional to 3,767.94, 5,646.72 and 2,842.68

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Solution

The fourth proportional to 3,767.94, 5,646.72 and 2,842.68 is: 4,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.94 : 5,646.72 = 2,842.68 : x
  2. Step 2: Convert to fraction form
    3,767.94/5,646.72 = 2,842.68/x
  3. Step 3: Cross multiply
    3,767.94x = 5,646.72 × 2,842.68
  4. Step 4: Simplify right side
    3,767.94x = 16,051,818.01
  5. Step 5: Solve for x
    x = 16,051,818.01/3,767.94
  6. Step 6: Final answer
    x = 4,260.10

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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.