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Finding the Fourth Proportional to 5,174.42, 7,759.11 and 1,710.50

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Solution

The fourth proportional to 5,174.42, 7,759.11 and 1,710.50 is: 2,564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.42 : 7,759.11 = 1,710.50 : x
  2. Step 2: Convert to fraction form
    5,174.42/7,759.11 = 1,710.50/x
  3. Step 3: Cross multiply
    5,174.42x = 7,759.11 × 1,710.50
  4. Step 4: Simplify right side
    5,174.42x = 13,271,957.66
  5. Step 5: Solve for x
    x = 13,271,957.66/5,174.42
  6. Step 6: Final answer
    x = 2,564.92

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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.