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Finding the Fourth Proportional to 5,334.92, 7,362.03 and 2,977.01

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Solution

The fourth proportional to 5,334.92, 7,362.03 and 2,977.01 is: 4,108.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,334.92 : 7,362.03 = 2,977.01 : x
  2. Step 2: Convert to fraction form
    5,334.92/7,362.03 = 2,977.01/x
  3. Step 3: Cross multiply
    5,334.92x = 7,362.03 × 2,977.01
  4. Step 4: Simplify right side
    5,334.92x = 21,916,785.24
  5. Step 5: Solve for x
    x = 21,916,785.24/5,334.92
  6. Step 6: Final answer
    x = 4,108.18

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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.