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Finding the Fourth Proportional to 3,740, 5,610 and 1,431.56

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Solution

The fourth proportional to 3,740, 5,610 and 1,431.56 is: 2,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740 : 5,610 = 1,431.56 : x
  2. Step 2: Convert to fraction form
    3,740/5,610 = 1,431.56/x
  3. Step 3: Cross multiply
    3,740x = 5,610 × 1,431.56
  4. Step 4: Simplify right side
    3,740x = 8,031,051.60
  5. Step 5: Solve for x
    x = 8,031,051.60/3,740
  6. Step 6: Final answer
    x = 2,147.34

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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.