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Finding the Fourth Proportional to 3,782.83, 5,218.87 and 2,346.53

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Solution

The fourth proportional to 3,782.83, 5,218.87 and 2,346.53 is: 3,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.83 : 5,218.87 = 2,346.53 : x
  2. Step 2: Convert to fraction form
    3,782.83/5,218.87 = 2,346.53/x
  3. Step 3: Cross multiply
    3,782.83x = 5,218.87 × 2,346.53
  4. Step 4: Simplify right side
    3,782.83x = 12,246,209.58
  5. Step 5: Solve for x
    x = 12,246,209.58/3,782.83
  6. Step 6: Final answer
    x = 3,237.32

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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.