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Finding the Fourth Proportional to 3,189.04, 4,783.68 and 1,137.04

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Solution

The fourth proportional to 3,189.04, 4,783.68 and 1,137.04 is: 1,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,189.04 : 4,783.68 = 1,137.04 : x
  2. Step 2: Convert to fraction form
    3,189.04/4,783.68 = 1,137.04/x
  3. Step 3: Cross multiply
    3,189.04x = 4,783.68 × 1,137.04
  4. Step 4: Simplify right side
    3,189.04x = 5,439,235.51
  5. Step 5: Solve for x
    x = 5,439,235.51/3,189.04
  6. Step 6: Final answer
    x = 1,705.60

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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.