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Finding the Fourth Proportional to 5,730.60, 7,898.64 and 3,958.32

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Solution

The fourth proportional to 5,730.60, 7,898.64 and 3,958.32 is: 5,455.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.60 : 7,898.64 = 3,958.32 : x
  2. Step 2: Convert to fraction form
    5,730.60/7,898.64 = 3,958.32/x
  3. Step 3: Cross multiply
    5,730.60x = 7,898.64 × 3,958.32
  4. Step 4: Simplify right side
    5,730.60x = 31,265,344.68
  5. Step 5: Solve for x
    x = 31,265,344.68/5,730.60
  6. Step 6: Final answer
    x = 5,455.86

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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.