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Finding the Fourth Proportional to 5,612.76, 7,745.27 and 3,094.98

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Solution

The fourth proportional to 5,612.76, 7,745.27 and 3,094.98 is: 4,270.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.76 : 7,745.27 = 3,094.98 : x
  2. Step 2: Convert to fraction form
    5,612.76/7,745.27 = 3,094.98/x
  3. Step 3: Cross multiply
    5,612.76x = 7,745.27 × 3,094.98
  4. Step 4: Simplify right side
    5,612.76x = 23,971,455.74
  5. Step 5: Solve for x
    x = 23,971,455.74/5,612.76
  6. Step 6: Final answer
    x = 4,270.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.