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Finding the Fourth Proportional to 3,762.54, 5,192.58 and 2,190.50

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Solution

The fourth proportional to 3,762.54, 5,192.58 and 2,190.50 is: 3,023.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.54 : 5,192.58 = 2,190.50 : x
  2. Step 2: Convert to fraction form
    3,762.54/5,192.58 = 2,190.50/x
  3. Step 3: Cross multiply
    3,762.54x = 5,192.58 × 2,190.50
  4. Step 4: Simplify right side
    3,762.54x = 11,374,346.49
  5. Step 5: Solve for x
    x = 11,374,346.49/3,762.54
  6. Step 6: Final answer
    x = 3,023.05

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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.