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Finding the Fourth Proportional to 4,669.76, 7,003.92 and 2,072.24

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Solution

The fourth proportional to 4,669.76, 7,003.92 and 2,072.24 is: 3,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,669.76 : 7,003.92 = 2,072.24 : x
  2. Step 2: Convert to fraction form
    4,669.76/7,003.92 = 2,072.24/x
  3. Step 3: Cross multiply
    4,669.76x = 7,003.92 × 2,072.24
  4. Step 4: Simplify right side
    4,669.76x = 14,513,803.18
  5. Step 5: Solve for x
    x = 14,513,803.18/4,669.76
  6. Step 6: Final answer
    x = 3,108.04

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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.