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Finding the Fourth Proportional to 5,488, 7,573.56 and 3,004

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Solution

The fourth proportional to 5,488, 7,573.56 and 3,004 is: 4,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488 : 7,573.56 = 3,004 : x
  2. Step 2: Convert to fraction form
    5,488/7,573.56 = 3,004/x
  3. Step 3: Cross multiply
    5,488x = 7,573.56 × 3,004
  4. Step 4: Simplify right side
    5,488x = 22,750,974.24
  5. Step 5: Solve for x
    x = 22,750,974.24/5,488
  6. Step 6: Final answer
    x = 4,145.59

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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.