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Finding the Fourth Proportional to 5,335.29, 7,362.06 and 2,977.29

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Solution

The fourth proportional to 5,335.29, 7,362.06 and 2,977.29 is: 4,108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.29 : 7,362.06 = 2,977.29 : x
  2. Step 2: Convert to fraction form
    5,335.29/7,362.06 = 2,977.29/x
  3. Step 3: Cross multiply
    5,335.29x = 7,362.06 × 2,977.29
  4. Step 4: Simplify right side
    5,335.29x = 21,918,987.62
  5. Step 5: Solve for x
    x = 21,918,987.62/5,335.29
  6. Step 6: Final answer
    x = 4,108.30

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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.