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Finding the Fourth Proportional to 3,039.09, 4,558.47 and 847.77

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Solution

The fourth proportional to 3,039.09, 4,558.47 and 847.77 is: 1,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,039.09 : 4,558.47 = 847.77 : x
  2. Step 2: Convert to fraction form
    3,039.09/4,558.47 = 847.77/x
  3. Step 3: Cross multiply
    3,039.09x = 4,558.47 × 847.77
  4. Step 4: Simplify right side
    3,039.09x = 3,864,534.11
  5. Step 5: Solve for x
    x = 3,864,534.11/3,039.09
  6. Step 6: Final answer
    x = 1,271.61

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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.