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Finding the Fourth Proportional to 4,119.57, 5,685.02 and 2,256.57

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Solution

The fourth proportional to 4,119.57, 5,685.02 and 2,256.57 is: 3,114.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,119.57 : 5,685.02 = 2,256.57 : x
  2. Step 2: Convert to fraction form
    4,119.57/5,685.02 = 2,256.57/x
  3. Step 3: Cross multiply
    4,119.57x = 5,685.02 × 2,256.57
  4. Step 4: Simplify right side
    4,119.57x = 12,828,634.30
  5. Step 5: Solve for x
    x = 12,828,634.30/4,119.57
  6. Step 6: Final answer
    x = 3,114.07

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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.