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Finding the Fourth Proportional to 5,883.64, 8,100.41 and 4,768.27

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Solution

The fourth proportional to 5,883.64, 8,100.41 and 4,768.27 is: 6,564.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.64 : 8,100.41 = 4,768.27 : x
  2. Step 2: Convert to fraction form
    5,883.64/8,100.41 = 4,768.27/x
  3. Step 3: Cross multiply
    5,883.64x = 8,100.41 × 4,768.27
  4. Step 4: Simplify right side
    5,883.64x = 38,624,897.90
  5. Step 5: Solve for x
    x = 38,624,897.90/5,883.64
  6. Step 6: Final answer
    x = 6,564.80

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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.