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Finding the Fourth Proportional to 5,078.84, 7,622.58 and 2,003

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Solution

The fourth proportional to 5,078.84, 7,622.58 and 2,003 is: 3,006.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.84 : 7,622.58 = 2,003 : x
  2. Step 2: Convert to fraction form
    5,078.84/7,622.58 = 2,003/x
  3. Step 3: Cross multiply
    5,078.84x = 7,622.58 × 2,003
  4. Step 4: Simplify right side
    5,078.84x = 15,268,027.74
  5. Step 5: Solve for x
    x = 15,268,027.74/5,078.84
  6. Step 6: Final answer
    x = 3,006.20

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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.