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Finding the Fourth Proportional to 3,783.46, 5,674.80 and 2,558.74

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Solution

The fourth proportional to 3,783.46, 5,674.80 and 2,558.74 is: 3,837.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.46 : 5,674.80 = 2,558.74 : x
  2. Step 2: Convert to fraction form
    3,783.46/5,674.80 = 2,558.74/x
  3. Step 3: Cross multiply
    3,783.46x = 5,674.80 × 2,558.74
  4. Step 4: Simplify right side
    3,783.46x = 14,520,337.75
  5. Step 5: Solve for x
    x = 14,520,337.75/3,783.46
  6. Step 6: Final answer
    x = 3,837.85

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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.