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Finding the Fourth Proportional to 4,162.64, 5,743.16 and 2,506.64

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Solution

The fourth proportional to 4,162.64, 5,743.16 and 2,506.64 is: 3,458.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.64 : 5,743.16 = 2,506.64 : x
  2. Step 2: Convert to fraction form
    4,162.64/5,743.16 = 2,506.64/x
  3. Step 3: Cross multiply
    4,162.64x = 5,743.16 × 2,506.64
  4. Step 4: Simplify right side
    4,162.64x = 14,395,993.33
  5. Step 5: Solve for x
    x = 14,395,993.33/4,162.64
  6. Step 6: Final answer
    x = 3,458.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.