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Finding the Fourth Proportional to 5,736.02, 8,602.20 and 1,839.50

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Solution

The fourth proportional to 5,736.02, 8,602.20 and 1,839.50 is: 2,758.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.02 : 8,602.20 = 1,839.50 : x
  2. Step 2: Convert to fraction form
    5,736.02/8,602.20 = 1,839.50/x
  3. Step 3: Cross multiply
    5,736.02x = 8,602.20 × 1,839.50
  4. Step 4: Simplify right side
    5,736.02x = 15,823,746.90
  5. Step 5: Solve for x
    x = 15,823,746.90/5,736.02
  6. Step 6: Final answer
    x = 2,758.66

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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.