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Finding the Fourth Proportional to 4,157.58, 6,238.80 and 1,562.34

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Solution

The fourth proportional to 4,157.58, 6,238.80 and 1,562.34 is: 2,344.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.58 : 6,238.80 = 1,562.34 : x
  2. Step 2: Convert to fraction form
    4,157.58/6,238.80 = 1,562.34/x
  3. Step 3: Cross multiply
    4,157.58x = 6,238.80 × 1,562.34
  4. Step 4: Simplify right side
    4,157.58x = 9,747,126.79
  5. Step 5: Solve for x
    x = 9,747,126.79/4,157.58
  6. Step 6: Final answer
    x = 2,344.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.