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Finding the Fourth Proportional to 3,425.96, 4,727.84 and 1,854.07

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Solution

The fourth proportional to 3,425.96, 4,727.84 and 1,854.07 is: 2,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,425.96 : 4,727.84 = 1,854.07 : x
  2. Step 2: Convert to fraction form
    3,425.96/4,727.84 = 1,854.07/x
  3. Step 3: Cross multiply
    3,425.96x = 4,727.84 × 1,854.07
  4. Step 4: Simplify right side
    3,425.96x = 8,765,725.22
  5. Step 5: Solve for x
    x = 8,765,725.22/3,425.96
  6. Step 6: Final answer
    x = 2,558.62

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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.