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Finding the Fourth Proportional to 3,482.70, 5,212.76 and 2,558.05

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Solution

The fourth proportional to 3,482.70, 5,212.76 and 2,558.05 is: 3,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.70 : 5,212.76 = 2,558.05 : x
  2. Step 2: Convert to fraction form
    3,482.70/5,212.76 = 2,558.05/x
  3. Step 3: Cross multiply
    3,482.70x = 5,212.76 × 2,558.05
  4. Step 4: Simplify right side
    3,482.70x = 13,334,474.90
  5. Step 5: Solve for x
    x = 13,334,474.90/3,482.70
  6. Step 6: Final answer
    x = 3,828.78

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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.