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Finding the Fourth Proportional to 5,730.94, 7,908.60 and 4,659.31

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Solution

The fourth proportional to 5,730.94, 7,908.60 and 4,659.31 is: 6,429.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.94 : 7,908.60 = 4,659.31 : x
  2. Step 2: Convert to fraction form
    5,730.94/7,908.60 = 4,659.31/x
  3. Step 3: Cross multiply
    5,730.94x = 7,908.60 × 4,659.31
  4. Step 4: Simplify right side
    5,730.94x = 36,848,619.07
  5. Step 5: Solve for x
    x = 36,848,619.07/5,730.94
  6. Step 6: Final answer
    x = 6,429.77

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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.