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Finding the Fourth Proportional to 4,907.69, 6,772.48 and 2,669.52

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Solution

The fourth proportional to 4,907.69, 6,772.48 and 2,669.52 is: 3,683.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.69 : 6,772.48 = 2,669.52 : x
  2. Step 2: Convert to fraction form
    4,907.69/6,772.48 = 2,669.52/x
  3. Step 3: Cross multiply
    4,907.69x = 6,772.48 × 2,669.52
  4. Step 4: Simplify right side
    4,907.69x = 18,079,270.81
  5. Step 5: Solve for x
    x = 18,079,270.81/4,907.69
  6. Step 6: Final answer
    x = 3,683.87

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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.