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Finding the Fourth Proportional to 4,235.67, 6,357.40 and 2,157.16

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Solution

The fourth proportional to 4,235.67, 6,357.40 and 2,157.16 is: 3,237.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.67 : 6,357.40 = 2,157.16 : x
  2. Step 2: Convert to fraction form
    4,235.67/6,357.40 = 2,157.16/x
  3. Step 3: Cross multiply
    4,235.67x = 6,357.40 × 2,157.16
  4. Step 4: Simplify right side
    4,235.67x = 13,713,928.98
  5. Step 5: Solve for x
    x = 13,713,928.98/4,235.67
  6. Step 6: Final answer
    x = 3,237.72

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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.