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Finding the Fourth Proportional to 3,762.60, 5,191.72 and 2,345.84

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Solution

The fourth proportional to 3,762.60, 5,191.72 and 2,345.84 is: 3,236.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.60 : 5,191.72 = 2,345.84 : x
  2. Step 2: Convert to fraction form
    3,762.60/5,191.72 = 2,345.84/x
  3. Step 3: Cross multiply
    3,762.60x = 5,191.72 × 2,345.84
  4. Step 4: Simplify right side
    3,762.60x = 12,178,944.44
  5. Step 5: Solve for x
    x = 12,178,944.44/3,762.60
  6. Step 6: Final answer
    x = 3,236.84

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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.