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Finding the Fourth Proportional to 3,975.48, 5,956.08 and 3,741.24

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Solution

The fourth proportional to 3,975.48, 5,956.08 and 3,741.24 is: 5,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.48 : 5,956.08 = 3,741.24 : x
  2. Step 2: Convert to fraction form
    3,975.48/5,956.08 = 3,741.24/x
  3. Step 3: Cross multiply
    3,975.48x = 5,956.08 × 3,741.24
  4. Step 4: Simplify right side
    3,975.48x = 22,283,124.74
  5. Step 5: Solve for x
    x = 22,283,124.74/3,975.48
  6. Step 6: Final answer
    x = 5,605.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.