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Finding the Fourth Proportional to 3,782.52, 5,648.28 and 3,090.55

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Solution

The fourth proportional to 3,782.52, 5,648.28 and 3,090.55 is: 4,614.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.52 : 5,648.28 = 3,090.55 : x
  2. Step 2: Convert to fraction form
    3,782.52/5,648.28 = 3,090.55/x
  3. Step 3: Cross multiply
    3,782.52x = 5,648.28 × 3,090.55
  4. Step 4: Simplify right side
    3,782.52x = 17,456,291.75
  5. Step 5: Solve for x
    x = 17,456,291.75/3,782.52
  6. Step 6: Final answer
    x = 4,614.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.