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Finding the Fourth Proportional to 5,690.24, 7,856.40 and 4,644.80

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Solution

The fourth proportional to 5,690.24, 7,856.40 and 4,644.80 is: 6,412.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.24 : 7,856.40 = 4,644.80 : x
  2. Step 2: Convert to fraction form
    5,690.24/7,856.40 = 4,644.80/x
  3. Step 3: Cross multiply
    5,690.24x = 7,856.40 × 4,644.80
  4. Step 4: Simplify right side
    5,690.24x = 36,491,406.72
  5. Step 5: Solve for x
    x = 36,491,406.72/5,690.24
  6. Step 6: Final answer
    x = 6,412.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.