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Finding the Fourth Proportional to 3,151.64, 4,725.78 and 3,017

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Solution

The fourth proportional to 3,151.64, 4,725.78 and 3,017 is: 4,523.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,151.64 : 4,725.78 = 3,017 : x
  2. Step 2: Convert to fraction form
    3,151.64/4,725.78 = 3,017/x
  3. Step 3: Cross multiply
    3,151.64x = 4,725.78 × 3,017
  4. Step 4: Simplify right side
    3,151.64x = 14,257,678.26
  5. Step 5: Solve for x
    x = 14,257,678.26/3,151.64
  6. Step 6: Final answer
    x = 4,523.89

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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.