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Finding the Fourth Proportional to 3,767.58, 5,651.79 and 1,302.12

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Solution

The fourth proportional to 3,767.58, 5,651.79 and 1,302.12 is: 1,953.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.58 : 5,651.79 = 1,302.12 : x
  2. Step 2: Convert to fraction form
    3,767.58/5,651.79 = 1,302.12/x
  3. Step 3: Cross multiply
    3,767.58x = 5,651.79 × 1,302.12
  4. Step 4: Simplify right side
    3,767.58x = 7,359,308.79
  5. Step 5: Solve for x
    x = 7,359,308.79/3,767.58
  6. Step 6: Final answer
    x = 1,953.33

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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.