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Finding the Fourth Proportional to 3,494.40, 5,242.68 and 1,546.32

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Solution

The fourth proportional to 3,494.40, 5,242.68 and 1,546.32 is: 2,319.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.40 : 5,242.68 = 1,546.32 : x
  2. Step 2: Convert to fraction form
    3,494.40/5,242.68 = 1,546.32/x
  3. Step 3: Cross multiply
    3,494.40x = 5,242.68 × 1,546.32
  4. Step 4: Simplify right side
    3,494.40x = 8,106,860.94
  5. Step 5: Solve for x
    x = 8,106,860.94/3,494.40
  6. Step 6: Final answer
    x = 2,319.96

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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.