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Finding the Fourth Proportional to 4,806.42, 6,632.69 and 2,681.81

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Solution

The fourth proportional to 4,806.42, 6,632.69 and 2,681.81 is: 3,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.42 : 6,632.69 = 2,681.81 : x
  2. Step 2: Convert to fraction form
    4,806.42/6,632.69 = 2,681.81/x
  3. Step 3: Cross multiply
    4,806.42x = 6,632.69 × 2,681.81
  4. Step 4: Simplify right side
    4,806.42x = 17,787,581.21
  5. Step 5: Solve for x
    x = 17,787,581.21/4,806.42
  6. Step 6: Final answer
    x = 3,700.80

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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.