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Finding the Fourth Proportional to 4,118.57, 6,142.09 and 3,975.06

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Solution

The fourth proportional to 4,118.57, 6,142.09 and 3,975.06 is: 5,928.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,118.57 : 6,142.09 = 3,975.06 : x
  2. Step 2: Convert to fraction form
    4,118.57/6,142.09 = 3,975.06/x
  3. Step 3: Cross multiply
    4,118.57x = 6,142.09 × 3,975.06
  4. Step 4: Simplify right side
    4,118.57x = 24,415,166.34
  5. Step 5: Solve for x
    x = 24,415,166.34/4,118.57
  6. Step 6: Final answer
    x = 5,928.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.