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Finding the Fourth Proportional to 3,390.52, 4,682.34 and 3,023.80

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Solution

The fourth proportional to 3,390.52, 4,682.34 and 3,023.80 is: 4,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,390.52 : 4,682.34 = 3,023.80 : x
  2. Step 2: Convert to fraction form
    3,390.52/4,682.34 = 3,023.80/x
  3. Step 3: Cross multiply
    3,390.52x = 4,682.34 × 3,023.80
  4. Step 4: Simplify right side
    3,390.52x = 14,158,459.69
  5. Step 5: Solve for x
    x = 14,158,459.69/3,390.52
  6. Step 6: Final answer
    x = 4,175.90

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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.