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Finding the Fourth Proportional to 3,039.46, 4,558.68 and 847.68

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Solution

The fourth proportional to 3,039.46, 4,558.68 and 847.68 is: 1,271.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.46 : 4,558.68 = 847.68 : x
  2. Step 2: Convert to fraction form
    3,039.46/4,558.68 = 847.68/x
  3. Step 3: Cross multiply
    3,039.46x = 4,558.68 × 847.68
  4. Step 4: Simplify right side
    3,039.46x = 3,864,301.86
  5. Step 5: Solve for x
    x = 3,864,301.86/3,039.46
  6. Step 6: Final answer
    x = 1,271.38

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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.