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Finding the Fourth Proportional to 3,730.94, 5,596.42 and 1,133.90

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Solution

The fourth proportional to 3,730.94, 5,596.42 and 1,133.90 is: 1,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.94 : 5,596.42 = 1,133.90 : x
  2. Step 2: Convert to fraction form
    3,730.94/5,596.42 = 1,133.90/x
  3. Step 3: Cross multiply
    3,730.94x = 5,596.42 × 1,133.90
  4. Step 4: Simplify right side
    3,730.94x = 6,345,780.64
  5. Step 5: Solve for x
    x = 6,345,780.64/3,730.94
  6. Step 6: Final answer
    x = 1,700.85

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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.