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Finding the Fourth Proportional to 5,458.60, 8,174.94 and 3,894.76

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Solution

The fourth proportional to 5,458.60, 8,174.94 and 3,894.76 is: 5,832.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.60 : 8,174.94 = 3,894.76 : x
  2. Step 2: Convert to fraction form
    5,458.60/8,174.94 = 3,894.76/x
  3. Step 3: Cross multiply
    5,458.60x = 8,174.94 × 3,894.76
  4. Step 4: Simplify right side
    5,458.60x = 31,839,429.31
  5. Step 5: Solve for x
    x = 31,839,429.31/5,458.60
  6. Step 6: Final answer
    x = 5,832.89

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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.