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Finding the Fourth Proportional to 4,570.65, 6,309.68 and 2,892.87

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Solution

The fourth proportional to 4,570.65, 6,309.68 and 2,892.87 is: 3,993.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,570.65 : 6,309.68 = 2,892.87 : x
  2. Step 2: Convert to fraction form
    4,570.65/6,309.68 = 2,892.87/x
  3. Step 3: Cross multiply
    4,570.65x = 6,309.68 × 2,892.87
  4. Step 4: Simplify right side
    4,570.65x = 18,253,059.67
  5. Step 5: Solve for x
    x = 18,253,059.67/4,570.65
  6. Step 6: Final answer
    x = 3,993.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.