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Finding the Fourth Proportional to 5,334.75, 7,362 and 2,977.02

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Solution

The fourth proportional to 5,334.75, 7,362 and 2,977.02 is: 4,108.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.75 : 7,362 = 2,977.02 : x
  2. Step 2: Convert to fraction form
    5,334.75/7,362 = 2,977.02/x
  3. Step 3: Cross multiply
    5,334.75x = 7,362 × 2,977.02
  4. Step 4: Simplify right side
    5,334.75x = 21,916,821.24
  5. Step 5: Solve for x
    x = 21,916,821.24/5,334.75
  6. Step 6: Final answer
    x = 4,108.31

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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.