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Finding the Fourth Proportional to 5,734.86, 8,594.52 and 2,447.04

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Solution

The fourth proportional to 5,734.86, 8,594.52 and 2,447.04 is: 3,667.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.86 : 8,594.52 = 2,447.04 : x
  2. Step 2: Convert to fraction form
    5,734.86/8,594.52 = 2,447.04/x
  3. Step 3: Cross multiply
    5,734.86x = 8,594.52 × 2,447.04
  4. Step 4: Simplify right side
    5,734.86x = 21,031,134.22
  5. Step 5: Solve for x
    x = 21,031,134.22/5,734.86
  6. Step 6: Final answer
    x = 3,667.24

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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.