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Finding the Fourth Proportional to 5,828.50, 8,740.69 and 1,879.60

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Solution

The fourth proportional to 5,828.50, 8,740.69 and 1,879.60 is: 2,818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.50 : 8,740.69 = 1,879.60 : x
  2. Step 2: Convert to fraction form
    5,828.50/8,740.69 = 1,879.60/x
  3. Step 3: Cross multiply
    5,828.50x = 8,740.69 × 1,879.60
  4. Step 4: Simplify right side
    5,828.50x = 16,429,000.92
  5. Step 5: Solve for x
    x = 16,429,000.92/5,828.50
  6. Step 6: Final answer
    x = 2,818.74

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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.