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Finding the Fourth Proportional to 5,094.09, 7,640.33 and 1,762.88

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Solution

The fourth proportional to 5,094.09, 7,640.33 and 1,762.88 is: 2,644.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,094.09 : 7,640.33 = 1,762.88 : x
  2. Step 2: Convert to fraction form
    5,094.09/7,640.33 = 1,762.88/x
  3. Step 3: Cross multiply
    5,094.09x = 7,640.33 × 1,762.88
  4. Step 4: Simplify right side
    5,094.09x = 13,468,937.93
  5. Step 5: Solve for x
    x = 13,468,937.93/5,094.09
  6. Step 6: Final answer
    x = 2,644.03

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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.