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Finding the Fourth Proportional to 3,782.88, 5,666.92 and 2,480.40

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Solution

The fourth proportional to 3,782.88, 5,666.92 and 2,480.40 is: 3,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.88 : 5,666.92 = 2,480.40 : x
  2. Step 2: Convert to fraction form
    3,782.88/5,666.92 = 2,480.40/x
  3. Step 3: Cross multiply
    3,782.88x = 5,666.92 × 2,480.40
  4. Step 4: Simplify right side
    3,782.88x = 14,056,228.37
  5. Step 5: Solve for x
    x = 14,056,228.37/3,782.88
  6. Step 6: Final answer
    x = 3,715.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.