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Finding the Fourth Proportional to 4,549.56, 6,278.22 and 2,559.96

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Solution

The fourth proportional to 4,549.56, 6,278.22 and 2,559.96 is: 3,532.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.56 : 6,278.22 = 2,559.96 : x
  2. Step 2: Convert to fraction form
    4,549.56/6,278.22 = 2,559.96/x
  3. Step 3: Cross multiply
    4,549.56x = 6,278.22 × 2,559.96
  4. Step 4: Simplify right side
    4,549.56x = 16,071,992.07
  5. Step 5: Solve for x
    x = 16,071,992.07/4,549.56
  6. Step 6: Final answer
    x = 3,532.65

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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.