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Finding the Fourth Proportional to 5,103.22, 7,636.59 and 4,000

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Solution

The fourth proportional to 5,103.22, 7,636.59 and 4,000 is: 5,985.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.22 : 7,636.59 = 4,000 : x
  2. Step 2: Convert to fraction form
    5,103.22/7,636.59 = 4,000/x
  3. Step 3: Cross multiply
    5,103.22x = 7,636.59 × 4,000
  4. Step 4: Simplify right side
    5,103.22x = 30,546,360
  5. Step 5: Solve for x
    x = 30,546,360/5,103.22
  6. Step 6: Final answer
    x = 5,985.70

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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.