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Finding the Fourth Proportional to 4,803.69, 6,632.12 and 3,682.55

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Solution

The fourth proportional to 4,803.69, 6,632.12 and 3,682.55 is: 5,084.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,803.69 : 6,632.12 = 3,682.55 : x
  2. Step 2: Convert to fraction form
    4,803.69/6,632.12 = 3,682.55/x
  3. Step 3: Cross multiply
    4,803.69x = 6,632.12 × 3,682.55
  4. Step 4: Simplify right side
    4,803.69x = 24,423,061.93
  5. Step 5: Solve for x
    x = 24,423,061.93/4,803.69
  6. Step 6: Final answer
    x = 5,084.23

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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.