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Finding the Fourth Proportional to 5,762.94, 8,633.61 and 2,832.54

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Solution

The fourth proportional to 5,762.94, 8,633.61 and 2,832.54 is: 4,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.94 : 8,633.61 = 2,832.54 : x
  2. Step 2: Convert to fraction form
    5,762.94/8,633.61 = 2,832.54/x
  3. Step 3: Cross multiply
    5,762.94x = 8,633.61 × 2,832.54
  4. Step 4: Simplify right side
    5,762.94x = 24,455,045.67
  5. Step 5: Solve for x
    x = 24,455,045.67/5,762.94
  6. Step 6: Final answer
    x = 4,243.50

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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.