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Finding the Fourth Proportional to 6,870.57, 10,305.96 and 2,190.57

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Solution

The fourth proportional to 6,870.57, 10,305.96 and 2,190.57 is: 3,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,870.57 : 10,305.96 = 2,190.57 : x
  2. Step 2: Convert to fraction form
    6,870.57/10,305.96 = 2,190.57/x
  3. Step 3: Cross multiply
    6,870.57x = 10,305.96 × 2,190.57
  4. Step 4: Simplify right side
    6,870.57x = 22,575,926.80
  5. Step 5: Solve for x
    x = 22,575,926.80/6,870.57
  6. Step 6: Final answer
    x = 3,285.89

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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.