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Finding the Fourth Proportional to 5,674.48, 8,509.39 and 2,165.77

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Solution

The fourth proportional to 5,674.48, 8,509.39 and 2,165.77 is: 3,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674.48 : 8,509.39 = 2,165.77 : x
  2. Step 2: Convert to fraction form
    5,674.48/8,509.39 = 2,165.77/x
  3. Step 3: Cross multiply
    5,674.48x = 8,509.39 × 2,165.77
  4. Step 4: Simplify right side
    5,674.48x = 18,429,381.58
  5. Step 5: Solve for x
    x = 18,429,381.58/5,674.48
  6. Step 6: Final answer
    x = 3,247.77

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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.