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Finding the Fourth Proportional to 5,952.96, 8,222.88 and 4,562.88

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Solution

The fourth proportional to 5,952.96, 8,222.88 and 4,562.88 is: 6,302.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.96 : 8,222.88 = 4,562.88 : x
  2. Step 2: Convert to fraction form
    5,952.96/8,222.88 = 4,562.88/x
  3. Step 3: Cross multiply
    5,952.96x = 8,222.88 × 4,562.88
  4. Step 4: Simplify right side
    5,952.96x = 37,520,014.69
  5. Step 5: Solve for x
    x = 37,520,014.69/5,952.96
  6. Step 6: Final answer
    x = 6,302.75

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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.