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Finding the Fourth Proportional to 3,039.15, 4,558.68 and 847.90

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Solution

The fourth proportional to 3,039.15, 4,558.68 and 847.90 is: 1,271.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.15 : 4,558.68 = 847.90 : x
  2. Step 2: Convert to fraction form
    3,039.15/4,558.68 = 847.90/x
  3. Step 3: Cross multiply
    3,039.15x = 4,558.68 × 847.90
  4. Step 4: Simplify right side
    3,039.15x = 3,865,310.47
  5. Step 5: Solve for x
    x = 3,865,310.47/3,039.15
  6. Step 6: Final answer
    x = 1,271.84

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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.