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Finding the Fourth Proportional to 3,164, 4,746.72 and 1,112

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Solution

The fourth proportional to 3,164, 4,746.72 and 1,112 is: 1,668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164 : 4,746.72 = 1,112 : x
  2. Step 2: Convert to fraction form
    3,164/4,746.72 = 1,112/x
  3. Step 3: Cross multiply
    3,164x = 4,746.72 × 1,112
  4. Step 4: Simplify right side
    3,164x = 5,278,352.64
  5. Step 5: Solve for x
    x = 5,278,352.64/3,164
  6. Step 6: Final answer
    x = 1,668.25

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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.