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Finding the Fourth Proportional to 5,659.65, 8,491.47 and 2,539.32

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Solution

The fourth proportional to 5,659.65, 8,491.47 and 2,539.32 is: 3,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.65 : 8,491.47 = 2,539.32 : x
  2. Step 2: Convert to fraction form
    5,659.65/8,491.47 = 2,539.32/x
  3. Step 3: Cross multiply
    5,659.65x = 8,491.47 × 2,539.32
  4. Step 4: Simplify right side
    5,659.65x = 21,562,559.60
  5. Step 5: Solve for x
    x = 21,562,559.60/5,659.65
  6. Step 6: Final answer
    x = 3,809.88

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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.