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Finding the Fourth Proportional to 5,072.92, 7,598.04 and 2,933.16

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Solution

The fourth proportional to 5,072.92, 7,598.04 and 2,933.16 is: 4,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,072.92 : 7,598.04 = 2,933.16 : x
  2. Step 2: Convert to fraction form
    5,072.92/7,598.04 = 2,933.16/x
  3. Step 3: Cross multiply
    5,072.92x = 7,598.04 × 2,933.16
  4. Step 4: Simplify right side
    5,072.92x = 22,286,267.01
  5. Step 5: Solve for x
    x = 22,286,267.01/5,072.92
  6. Step 6: Final answer
    x = 4,393.18

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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.