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Finding the Fourth Proportional to 5,490.60, 8,235.90 and 3,157.80

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Solution

The fourth proportional to 5,490.60, 8,235.90 and 3,157.80 is: 4,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,490.60 : 8,235.90 = 3,157.80 : x
  2. Step 2: Convert to fraction form
    5,490.60/8,235.90 = 3,157.80/x
  3. Step 3: Cross multiply
    5,490.60x = 8,235.90 × 3,157.80
  4. Step 4: Simplify right side
    5,490.60x = 26,007,325.02
  5. Step 5: Solve for x
    x = 26,007,325.02/5,490.60
  6. Step 6: Final answer
    x = 4,736.70

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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.