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Finding the Fourth Proportional to 4,685.79, 6,461.97 and 3,007.71

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Solution

The fourth proportional to 4,685.79, 6,461.97 and 3,007.71 is: 4,147.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.79 : 6,461.97 = 3,007.71 : x
  2. Step 2: Convert to fraction form
    4,685.79/6,461.97 = 3,007.71/x
  3. Step 3: Cross multiply
    4,685.79x = 6,461.97 × 3,007.71
  4. Step 4: Simplify right side
    4,685.79x = 19,435,731.79
  5. Step 5: Solve for x
    x = 19,435,731.79/4,685.79
  6. Step 6: Final answer
    x = 4,147.80

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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.