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Finding the Fourth Proportional to 4,235.19, 6,352.71 and 1,157.19

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Solution

The fourth proportional to 4,235.19, 6,352.71 and 1,157.19 is: 1,735.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.19 : 6,352.71 = 1,157.19 : x
  2. Step 2: Convert to fraction form
    4,235.19/6,352.71 = 1,157.19/x
  3. Step 3: Cross multiply
    4,235.19x = 6,352.71 × 1,157.19
  4. Step 4: Simplify right side
    4,235.19x = 7,351,292.48
  5. Step 5: Solve for x
    x = 7,351,292.48/4,235.19
  6. Step 6: Final answer
    x = 1,735.76

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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.