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Finding the Fourth Proportional to 5,498.88, 7,609.32 and 4,802.28

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Solution

The fourth proportional to 5,498.88, 7,609.32 and 4,802.28 is: 6,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.88 : 7,609.32 = 4,802.28 : x
  2. Step 2: Convert to fraction form
    5,498.88/7,609.32 = 4,802.28/x
  3. Step 3: Cross multiply
    5,498.88x = 7,609.32 × 4,802.28
  4. Step 4: Simplify right side
    5,498.88x = 36,542,085.25
  5. Step 5: Solve for x
    x = 36,542,085.25/5,498.88
  6. Step 6: Final answer
    x = 6,645.37

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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.