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Finding the Fourth Proportional to 5,026.94, 7,542.93 and 2,255.60

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Solution

The fourth proportional to 5,026.94, 7,542.93 and 2,255.60 is: 3,384.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,026.94 : 7,542.93 = 2,255.60 : x
  2. Step 2: Convert to fraction form
    5,026.94/7,542.93 = 2,255.60/x
  3. Step 3: Cross multiply
    5,026.94x = 7,542.93 × 2,255.60
  4. Step 4: Simplify right side
    5,026.94x = 17,013,789.55
  5. Step 5: Solve for x
    x = 17,013,789.55/5,026.94
  6. Step 6: Final answer
    x = 3,384.52

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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.