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Finding the Fourth Proportional to 3,494.19, 5,238.77 and 1,152.89

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Solution

The fourth proportional to 3,494.19, 5,238.77 and 1,152.89 is: 1,728.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.19 : 5,238.77 = 1,152.89 : x
  2. Step 2: Convert to fraction form
    3,494.19/5,238.77 = 1,152.89/x
  3. Step 3: Cross multiply
    3,494.19x = 5,238.77 × 1,152.89
  4. Step 4: Simplify right side
    3,494.19x = 6,039,725.55
  5. Step 5: Solve for x
    x = 6,039,725.55/3,494.19
  6. Step 6: Final answer
    x = 1,728.51

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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.