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Finding the Fourth Proportional to 5,734.30, 8,589.30 and 4,762.30

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Solution

The fourth proportional to 5,734.30, 8,589.30 and 4,762.30 is: 7,133.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.30 : 8,589.30 = 4,762.30 : x
  2. Step 2: Convert to fraction form
    5,734.30/8,589.30 = 4,762.30/x
  3. Step 3: Cross multiply
    5,734.30x = 8,589.30 × 4,762.30
  4. Step 4: Simplify right side
    5,734.30x = 40,904,823.39
  5. Step 5: Solve for x
    x = 40,904,823.39/5,734.30
  6. Step 6: Final answer
    x = 7,133.36

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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.