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Finding the Fourth Proportional to 5,083.92, 7,627.01 and 1,621.17

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Solution

The fourth proportional to 5,083.92, 7,627.01 and 1,621.17 is: 2,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,083.92 : 7,627.01 = 1,621.17 : x
  2. Step 2: Convert to fraction form
    5,083.92/7,627.01 = 1,621.17/x
  3. Step 3: Cross multiply
    5,083.92x = 7,627.01 × 1,621.17
  4. Step 4: Simplify right side
    5,083.92x = 12,364,671.70
  5. Step 5: Solve for x
    x = 12,364,671.70/5,083.92
  6. Step 6: Final answer
    x = 2,432.11

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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.