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Finding the Fourth Proportional to 4,935.90, 6,807.69 and 3,167.67

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Solution

The fourth proportional to 4,935.90, 6,807.69 and 3,167.67 is: 4,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,935.90 : 6,807.69 = 3,167.67 : x
  2. Step 2: Convert to fraction form
    4,935.90/6,807.69 = 3,167.67/x
  3. Step 3: Cross multiply
    4,935.90x = 6,807.69 × 3,167.67
  4. Step 4: Simplify right side
    4,935.90x = 21,564,515.38
  5. Step 5: Solve for x
    x = 21,564,515.38/4,935.90
  6. Step 6: Final answer
    x = 4,368.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.