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Finding the Fourth Proportional to 5,271.42, 7,914.09 and 4,836.24

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Solution

The fourth proportional to 5,271.42, 7,914.09 and 4,836.24 is: 7,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.42 : 7,914.09 = 4,836.24 : x
  2. Step 2: Convert to fraction form
    5,271.42/7,914.09 = 4,836.24/x
  3. Step 3: Cross multiply
    5,271.42x = 7,914.09 × 4,836.24
  4. Step 4: Simplify right side
    5,271.42x = 38,274,456.76
  5. Step 5: Solve for x
    x = 38,274,456.76/5,271.42
  6. Step 6: Final answer
    x = 7,260.74

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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.