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Finding the Fourth Proportional to 5,047.12, 7,572.12 and 2,123.92

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Solution

The fourth proportional to 5,047.12, 7,572.12 and 2,123.92 is: 3,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,047.12 : 7,572.12 = 2,123.92 : x
  2. Step 2: Convert to fraction form
    5,047.12/7,572.12 = 2,123.92/x
  3. Step 3: Cross multiply
    5,047.12x = 7,572.12 × 2,123.92
  4. Step 4: Simplify right side
    5,047.12x = 16,082,577.11
  5. Step 5: Solve for x
    x = 16,082,577.11/5,047.12
  6. Step 6: Final answer
    x = 3,186.49

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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.