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Finding the Fourth Proportional to 4,168.64, 5,746.56 and 3,282.68

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Solution

The fourth proportional to 4,168.64, 5,746.56 and 3,282.68 is: 4,525.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.64 : 5,746.56 = 3,282.68 : x
  2. Step 2: Convert to fraction form
    4,168.64/5,746.56 = 3,282.68/x
  3. Step 3: Cross multiply
    4,168.64x = 5,746.56 × 3,282.68
  4. Step 4: Simplify right side
    4,168.64x = 18,864,117.58
  5. Step 5: Solve for x
    x = 18,864,117.58/4,168.64
  6. Step 6: Final answer
    x = 4,525.25

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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.