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Finding the Fourth Proportional to 4,857.60, 6,707.20 and 3,736.80

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Solution

The fourth proportional to 4,857.60, 6,707.20 and 3,736.80 is: 5,159.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,857.60 : 6,707.20 = 3,736.80 : x
  2. Step 2: Convert to fraction form
    4,857.60/6,707.20 = 3,736.80/x
  3. Step 3: Cross multiply
    4,857.60x = 6,707.20 × 3,736.80
  4. Step 4: Simplify right side
    4,857.60x = 25,063,464.96
  5. Step 5: Solve for x
    x = 25,063,464.96/4,857.60
  6. Step 6: Final answer
    x = 5,159.64

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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.