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Finding the Fourth Proportional to 5,890.60, 8,125.62 and 3,678.76

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Solution

The fourth proportional to 5,890.60, 8,125.62 and 3,678.76 is: 5,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.60 : 8,125.62 = 3,678.76 : x
  2. Step 2: Convert to fraction form
    5,890.60/8,125.62 = 3,678.76/x
  3. Step 3: Cross multiply
    5,890.60x = 8,125.62 × 3,678.76
  4. Step 4: Simplify right side
    5,890.60x = 29,892,205.83
  5. Step 5: Solve for x
    x = 29,892,205.83/5,890.60
  6. Step 6: Final answer
    x = 5,074.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.