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Finding the Fourth Proportional to 3,808.02, 5,712 and 1,342.55

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Solution

The fourth proportional to 3,808.02, 5,712 and 1,342.55 is: 2,013.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.02 : 5,712 = 1,342.55 : x
  2. Step 2: Convert to fraction form
    3,808.02/5,712 = 1,342.55/x
  3. Step 3: Cross multiply
    3,808.02x = 5,712 × 1,342.55
  4. Step 4: Simplify right side
    3,808.02x = 7,668,645.60
  5. Step 5: Solve for x
    x = 7,668,645.60/3,808.02
  6. Step 6: Final answer
    x = 2,013.81

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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.