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Finding the Fourth Proportional to 5,255.86, 7,884.61 and 1,558.46

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Solution

The fourth proportional to 5,255.86, 7,884.61 and 1,558.46 is: 2,337.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,255.86 : 7,884.61 = 1,558.46 : x
  2. Step 2: Convert to fraction form
    5,255.86/7,884.61 = 1,558.46/x
  3. Step 3: Cross multiply
    5,255.86x = 7,884.61 × 1,558.46
  4. Step 4: Simplify right side
    5,255.86x = 12,287,813.77
  5. Step 5: Solve for x
    x = 12,287,813.77/5,255.86
  6. Step 6: Final answer
    x = 2,337.93

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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.