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Finding the Fourth Proportional to 3,594.96, 5,387.58 and 1,864.80

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Solution

The fourth proportional to 3,594.96, 5,387.58 and 1,864.80 is: 2,794.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,594.96 : 5,387.58 = 1,864.80 : x
  2. Step 2: Convert to fraction form
    3,594.96/5,387.58 = 1,864.80/x
  3. Step 3: Cross multiply
    3,594.96x = 5,387.58 × 1,864.80
  4. Step 4: Simplify right side
    3,594.96x = 10,046,759.18
  5. Step 5: Solve for x
    x = 10,046,759.18/3,594.96
  6. Step 6: Final answer
    x = 2,794.68

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1.5x scale

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.