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Finding the Fourth Proportional to 4,559.57, 6,840.58 and 1,637.90

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Solution

The fourth proportional to 4,559.57, 6,840.58 and 1,637.90 is: 2,457.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,559.57 : 6,840.58 = 1,637.90 : x
  2. Step 2: Convert to fraction form
    4,559.57/6,840.58 = 1,637.90/x
  3. Step 3: Cross multiply
    4,559.57x = 6,840.58 × 1,637.90
  4. Step 4: Simplify right side
    4,559.57x = 11,204,198.99
  5. Step 5: Solve for x
    x = 11,204,198.99/4,559.57
  6. Step 6: Final answer
    x = 2,457.29

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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.