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Finding the Fourth Proportional to 4,113.54, 5,677.74 and 2,540.74

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Solution

The fourth proportional to 4,113.54, 5,677.74 and 2,540.74 is: 3,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.54 : 5,677.74 = 2,540.74 : x
  2. Step 2: Convert to fraction form
    4,113.54/5,677.74 = 2,540.74/x
  3. Step 3: Cross multiply
    4,113.54x = 5,677.74 × 2,540.74
  4. Step 4: Simplify right side
    4,113.54x = 14,425,661.13
  5. Step 5: Solve for x
    x = 14,425,661.13/4,113.54
  6. Step 6: Final answer
    x = 3,506.87

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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.