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Finding the Fourth Proportional to 3,083.62, 4,627.16 and 1,234.87

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Solution

The fourth proportional to 3,083.62, 4,627.16 and 1,234.87 is: 1,853.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.62 : 4,627.16 = 1,234.87 : x
  2. Step 2: Convert to fraction form
    3,083.62/4,627.16 = 1,234.87/x
  3. Step 3: Cross multiply
    3,083.62x = 4,627.16 × 1,234.87
  4. Step 4: Simplify right side
    3,083.62x = 5,713,941.07
  5. Step 5: Solve for x
    x = 5,713,941.07/3,083.62
  6. Step 6: Final answer
    x = 1,853.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.