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Finding the Fourth Proportional to 5,158.94, 7,725.31 and 4,323.80

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Solution

The fourth proportional to 5,158.94, 7,725.31 and 4,323.80 is: 6,474.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.94 : 7,725.31 = 4,323.80 : x
  2. Step 2: Convert to fraction form
    5,158.94/7,725.31 = 4,323.80/x
  3. Step 3: Cross multiply
    5,158.94x = 7,725.31 × 4,323.80
  4. Step 4: Simplify right side
    5,158.94x = 33,402,703.88
  5. Step 5: Solve for x
    x = 33,402,703.88/5,158.94
  6. Step 6: Final answer
    x = 6,474.73

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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.