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Finding the Fourth Proportional to 3,729.35, 5,594.73 and 1,230.68

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Solution

The fourth proportional to 3,729.35, 5,594.73 and 1,230.68 is: 1,846.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.35 : 5,594.73 = 1,230.68 : x
  2. Step 2: Convert to fraction form
    3,729.35/5,594.73 = 1,230.68/x
  3. Step 3: Cross multiply
    3,729.35x = 5,594.73 × 1,230.68
  4. Step 4: Simplify right side
    3,729.35x = 6,885,322.32
  5. Step 5: Solve for x
    x = 6,885,322.32/3,729.35
  6. Step 6: Final answer
    x = 1,846.25

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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.