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Finding the Fourth Proportional to 5,628.12, 8,444.46 and 2,709

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Solution

The fourth proportional to 5,628.12, 8,444.46 and 2,709 is: 4,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.12 : 8,444.46 = 2,709 : x
  2. Step 2: Convert to fraction form
    5,628.12/8,444.46 = 2,709/x
  3. Step 3: Cross multiply
    5,628.12x = 8,444.46 × 2,709
  4. Step 4: Simplify right side
    5,628.12x = 22,876,042.14
  5. Step 5: Solve for x
    x = 22,876,042.14/5,628.12
  6. Step 6: Final answer
    x = 4,064.60

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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.