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Finding the Fourth Proportional to 3,184.72, 4,767.72 and 1,864.40

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Solution

The fourth proportional to 3,184.72, 4,767.72 and 1,864.40 is: 2,791.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,184.72 : 4,767.72 = 1,864.40 : x
  2. Step 2: Convert to fraction form
    3,184.72/4,767.72 = 1,864.40/x
  3. Step 3: Cross multiply
    3,184.72x = 4,767.72 × 1,864.40
  4. Step 4: Simplify right side
    3,184.72x = 8,888,937.17
  5. Step 5: Solve for x
    x = 8,888,937.17/3,184.72
  6. Step 6: Final answer
    x = 2,791.12

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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.