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Finding the Fourth Proportional to 3,147.26, 4,720.58 and 956.01

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Solution

The fourth proportional to 3,147.26, 4,720.58 and 956.01 is: 1,433.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.26 : 4,720.58 = 956.01 : x
  2. Step 2: Convert to fraction form
    3,147.26/4,720.58 = 956.01/x
  3. Step 3: Cross multiply
    3,147.26x = 4,720.58 × 956.01
  4. Step 4: Simplify right side
    3,147.26x = 4,512,898.08
  5. Step 5: Solve for x
    x = 4,512,898.08/3,147.26
  6. Step 6: Final answer
    x = 1,433.92

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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.