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Finding the Fourth Proportional to 5,693.27, 7,853.76 and 4,632.21

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Solution

The fourth proportional to 5,693.27, 7,853.76 and 4,632.21 is: 6,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.27 : 7,853.76 = 4,632.21 : x
  2. Step 2: Convert to fraction form
    5,693.27/7,853.76 = 4,632.21/x
  3. Step 3: Cross multiply
    5,693.27x = 7,853.76 × 4,632.21
  4. Step 4: Simplify right side
    5,693.27x = 36,380,265.61
  5. Step 5: Solve for x
    x = 36,380,265.61/5,693.27
  6. Step 6: Final answer
    x = 6,390.05

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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.