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Finding the Fourth Proportional to 5,174.50, 7,762.56 and 1,712.56

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Solution

The fourth proportional to 5,174.50, 7,762.56 and 1,712.56 is: 2,569.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.50 : 7,762.56 = 1,712.56 : x
  2. Step 2: Convert to fraction form
    5,174.50/7,762.56 = 1,712.56/x
  3. Step 3: Cross multiply
    5,174.50x = 7,762.56 × 1,712.56
  4. Step 4: Simplify right side
    5,174.50x = 13,293,849.75
  5. Step 5: Solve for x
    x = 13,293,849.75/5,174.50
  6. Step 6: Final answer
    x = 2,569.11

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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.