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Finding the Fourth Proportional to 5,649.90, 8,474.85 and 1,956.30

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Solution

The fourth proportional to 5,649.90, 8,474.85 and 1,956.30 is: 2,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.90 : 8,474.85 = 1,956.30 : x
  2. Step 2: Convert to fraction form
    5,649.90/8,474.85 = 1,956.30/x
  3. Step 3: Cross multiply
    5,649.90x = 8,474.85 × 1,956.30
  4. Step 4: Simplify right side
    5,649.90x = 16,579,349.06
  5. Step 5: Solve for x
    x = 16,579,349.06/5,649.90
  6. Step 6: Final answer
    x = 2,934.45

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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.