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Finding the Fourth Proportional to 4,849.16, 7,264.92 and 4,669.16

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Solution

The fourth proportional to 4,849.16, 7,264.92 and 4,669.16 is: 6,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,849.16 : 7,264.92 = 4,669.16 : x
  2. Step 2: Convert to fraction form
    4,849.16/7,264.92 = 4,669.16/x
  3. Step 3: Cross multiply
    4,849.16x = 7,264.92 × 4,669.16
  4. Step 4: Simplify right side
    4,849.16x = 33,921,073.87
  5. Step 5: Solve for x
    x = 33,921,073.87/4,849.16
  6. Step 6: Final answer
    x = 6,995.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.