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Finding the Fourth Proportional to 5,969.60, 8,953.92 and 2,458.65

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Solution

The fourth proportional to 5,969.60, 8,953.92 and 2,458.65 is: 3,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.60 : 8,953.92 = 2,458.65 : x
  2. Step 2: Convert to fraction form
    5,969.60/8,953.92 = 2,458.65/x
  3. Step 3: Cross multiply
    5,969.60x = 8,953.92 × 2,458.65
  4. Step 4: Simplify right side
    5,969.60x = 22,014,555.41
  5. Step 5: Solve for x
    x = 22,014,555.41/5,969.60
  6. Step 6: Final answer
    x = 3,687.78

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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.