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Finding the Fourth Proportional to 5,756.12, 8,633.92 and 1,807.28

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Solution

The fourth proportional to 5,756.12, 8,633.92 and 1,807.28 is: 2,710.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,756.12 : 8,633.92 = 1,807.28 : x
  2. Step 2: Convert to fraction form
    5,756.12/8,633.92 = 1,807.28/x
  3. Step 3: Cross multiply
    5,756.12x = 8,633.92 × 1,807.28
  4. Step 4: Simplify right side
    5,756.12x = 15,603,910.94
  5. Step 5: Solve for x
    x = 15,603,910.94/5,756.12
  6. Step 6: Final answer
    x = 2,710.84

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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.