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Finding the Fourth Proportional to 3,730.90, 5,596.11 and 1,133.86

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Solution

The fourth proportional to 3,730.90, 5,596.11 and 1,133.86 is: 1,700.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.90 : 5,596.11 = 1,133.86 : x
  2. Step 2: Convert to fraction form
    3,730.90/5,596.11 = 1,133.86/x
  3. Step 3: Cross multiply
    3,730.90x = 5,596.11 × 1,133.86
  4. Step 4: Simplify right side
    3,730.90x = 6,345,205.28
  5. Step 5: Solve for x
    x = 6,345,205.28/3,730.90
  6. Step 6: Final answer
    x = 1,700.72

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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.