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Finding the Fourth Proportional to 3,232.08, 4,457 and 2,566.80

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Solution

The fourth proportional to 3,232.08, 4,457 and 2,566.80 is: 3,539.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.08 : 4,457 = 2,566.80 : x
  2. Step 2: Convert to fraction form
    3,232.08/4,457 = 2,566.80/x
  3. Step 3: Cross multiply
    3,232.08x = 4,457 × 2,566.80
  4. Step 4: Simplify right side
    3,232.08x = 11,440,227.60
  5. Step 5: Solve for x
    x = 11,440,227.60/3,232.08
  6. Step 6: Final answer
    x = 3,539.59

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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.