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Finding the Fourth Proportional to 5,847.48, 8,069.67 and 3,490.98

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Solution

The fourth proportional to 5,847.48, 8,069.67 and 3,490.98 is: 4,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.48 : 8,069.67 = 3,490.98 : x
  2. Step 2: Convert to fraction form
    5,847.48/8,069.67 = 3,490.98/x
  3. Step 3: Cross multiply
    5,847.48x = 8,069.67 × 3,490.98
  4. Step 4: Simplify right side
    5,847.48x = 28,171,056.58
  5. Step 5: Solve for x
    x = 28,171,056.58/5,847.48
  6. Step 6: Final answer
    x = 4,817.64

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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.