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Finding the Fourth Proportional to 3,767.46, 5,651.64 and 1,302.02

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Solution

The fourth proportional to 3,767.46, 5,651.64 and 1,302.02 is: 1,953.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.46 : 5,651.64 = 1,302.02 : x
  2. Step 2: Convert to fraction form
    3,767.46/5,651.64 = 1,302.02/x
  3. Step 3: Cross multiply
    3,767.46x = 5,651.64 × 1,302.02
  4. Step 4: Simplify right side
    3,767.46x = 7,358,548.31
  5. Step 5: Solve for x
    x = 7,358,548.31/3,767.46
  6. Step 6: Final answer
    x = 1,953.19

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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.