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Finding the Fourth Proportional to 5,649.24, 8,474.94 and 1,951.32

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Solution

The fourth proportional to 5,649.24, 8,474.94 and 1,951.32 is: 2,927.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.24 : 8,474.94 = 1,951.32 : x
  2. Step 2: Convert to fraction form
    5,649.24/8,474.94 = 1,951.32/x
  3. Step 3: Cross multiply
    5,649.24x = 8,474.94 × 1,951.32
  4. Step 4: Simplify right side
    5,649.24x = 16,537,319.92
  5. Step 5: Solve for x
    x = 16,537,319.92/5,649.24
  6. Step 6: Final answer
    x = 2,927.35

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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.