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Finding the Fourth Proportional to 5,723.30, 8,572.80 and 4,751.30

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Solution

The fourth proportional to 5,723.30, 8,572.80 and 4,751.30 is: 7,116.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.30 : 8,572.80 = 4,751.30 : x
  2. Step 2: Convert to fraction form
    5,723.30/8,572.80 = 4,751.30/x
  3. Step 3: Cross multiply
    5,723.30x = 8,572.80 × 4,751.30
  4. Step 4: Simplify right side
    5,723.30x = 40,731,944.64
  5. Step 5: Solve for x
    x = 40,731,944.64/5,723.30
  6. Step 6: Final answer
    x = 7,116.86

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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.