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Finding the Fourth Proportional to 5,713.98, 8,570.92 and 1,765.24

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Solution

The fourth proportional to 5,713.98, 8,570.92 and 1,765.24 is: 2,647.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.98 : 8,570.92 = 1,765.24 : x
  2. Step 2: Convert to fraction form
    5,713.98/8,570.92 = 1,765.24/x
  3. Step 3: Cross multiply
    5,713.98x = 8,570.92 × 1,765.24
  4. Step 4: Simplify right side
    5,713.98x = 15,129,730.82
  5. Step 5: Solve for x
    x = 15,129,730.82/5,713.98
  6. Step 6: Final answer
    x = 2,647.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.