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Finding the Fourth Proportional to 3,778.52, 5,208.57 and 2,656.40

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Solution

The fourth proportional to 3,778.52, 5,208.57 and 2,656.40 is: 3,661.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.52 : 5,208.57 = 2,656.40 : x
  2. Step 2: Convert to fraction form
    3,778.52/5,208.57 = 2,656.40/x
  3. Step 3: Cross multiply
    3,778.52x = 5,208.57 × 2,656.40
  4. Step 4: Simplify right side
    3,778.52x = 13,836,019.31
  5. Step 5: Solve for x
    x = 13,836,019.31/3,778.52
  6. Step 6: Final answer
    x = 3,661.76

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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.