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Finding the Fourth Proportional to 5,004, 6,905.52 and 2,796

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Solution

The fourth proportional to 5,004, 6,905.52 and 2,796 is: 3,858.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,004 : 6,905.52 = 2,796 : x
  2. Step 2: Convert to fraction form
    5,004/6,905.52 = 2,796/x
  3. Step 3: Cross multiply
    5,004x = 6,905.52 × 2,796
  4. Step 4: Simplify right side
    5,004x = 19,307,833.92
  5. Step 5: Solve for x
    x = 19,307,833.92/5,004
  6. Step 6: Final answer
    x = 3,858.48

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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.