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Finding the Fourth Proportional to 3,494.94, 5,238.15 and 3,125.88

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Solution

The fourth proportional to 3,494.94, 5,238.15 and 3,125.88 is: 4,685.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.94 : 5,238.15 = 3,125.88 : x
  2. Step 2: Convert to fraction form
    3,494.94/5,238.15 = 3,125.88/x
  3. Step 3: Cross multiply
    3,494.94x = 5,238.15 × 3,125.88
  4. Step 4: Simplify right side
    3,494.94x = 16,373,828.32
  5. Step 5: Solve for x
    x = 16,373,828.32/3,494.94
  6. Step 6: Final answer
    x = 4,685.01

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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.