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Finding the Fourth Proportional to 3,174.47, 4,380.54 and 1,758.01

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Solution

The fourth proportional to 3,174.47, 4,380.54 and 1,758.01 is: 2,425.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174.47 : 4,380.54 = 1,758.01 : x
  2. Step 2: Convert to fraction form
    3,174.47/4,380.54 = 1,758.01/x
  3. Step 3: Cross multiply
    3,174.47x = 4,380.54 × 1,758.01
  4. Step 4: Simplify right side
    3,174.47x = 7,701,033.13
  5. Step 5: Solve for x
    x = 7,701,033.13/3,174.47
  6. Step 6: Final answer
    x = 2,425.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.