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Finding the Fourth Proportional to 3,778.83, 5,205.03 and 2,642.51

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Solution

The fourth proportional to 3,778.83, 5,205.03 and 2,642.51 is: 3,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.83 : 5,205.03 = 2,642.51 : x
  2. Step 2: Convert to fraction form
    3,778.83/5,205.03 = 2,642.51/x
  3. Step 3: Cross multiply
    3,778.83x = 5,205.03 × 2,642.51
  4. Step 4: Simplify right side
    3,778.83x = 13,754,317.80
  5. Step 5: Solve for x
    x = 13,754,317.80/3,778.83
  6. Step 6: Final answer
    x = 3,639.84

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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.