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Finding the Fourth Proportional to 5,100.57, 7,651.02 and 1,402.77

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Solution

The fourth proportional to 5,100.57, 7,651.02 and 1,402.77 is: 2,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,100.57 : 7,651.02 = 1,402.77 : x
  2. Step 2: Convert to fraction form
    5,100.57/7,651.02 = 1,402.77/x
  3. Step 3: Cross multiply
    5,100.57x = 7,651.02 × 1,402.77
  4. Step 4: Simplify right side
    5,100.57x = 10,732,621.33
  5. Step 5: Solve for x
    x = 10,732,621.33/5,100.57
  6. Step 6: Final answer
    x = 2,104.20

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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.