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Finding the Fourth Proportional to 4,047.59, 5,585.77 and 2,255.19

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Solution

The fourth proportional to 4,047.59, 5,585.77 and 2,255.19 is: 3,112.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,047.59 : 5,585.77 = 2,255.19 : x
  2. Step 2: Convert to fraction form
    4,047.59/5,585.77 = 2,255.19/x
  3. Step 3: Cross multiply
    4,047.59x = 5,585.77 × 2,255.19
  4. Step 4: Simplify right side
    4,047.59x = 12,596,958.65
  5. Step 5: Solve for x
    x = 12,596,958.65/4,047.59
  6. Step 6: Final answer
    x = 3,112.21

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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.