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Finding the Fourth Proportional to 4,146.42, 5,698.50 and 3,731.23

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Solution

The fourth proportional to 4,146.42, 5,698.50 and 3,731.23 is: 5,127.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,146.42 : 5,698.50 = 3,731.23 : x
  2. Step 2: Convert to fraction form
    4,146.42/5,698.50 = 3,731.23/x
  3. Step 3: Cross multiply
    4,146.42x = 5,698.50 × 3,731.23
  4. Step 4: Simplify right side
    4,146.42x = 21,262,404.23
  5. Step 5: Solve for x
    x = 21,262,404.23/4,146.42
  6. Step 6: Final answer
    x = 5,127.90

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.