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Finding the Fourth Proportional to 4,746, 6,548.97 and 2,756.97

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Solution

The fourth proportional to 4,746, 6,548.97 and 2,756.97 is: 3,804.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746 : 6,548.97 = 2,756.97 : x
  2. Step 2: Convert to fraction form
    4,746/6,548.97 = 2,756.97/x
  3. Step 3: Cross multiply
    4,746x = 6,548.97 × 2,756.97
  4. Step 4: Simplify right side
    4,746x = 18,055,313.82
  5. Step 5: Solve for x
    x = 18,055,313.82/4,746
  6. Step 6: Final answer
    x = 3,804.32

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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.