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Finding the Fourth Proportional to 3,235.14, 4,852.32 and 895.32

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Solution

The fourth proportional to 3,235.14, 4,852.32 and 895.32 is: 1,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.14 : 4,852.32 = 895.32 : x
  2. Step 2: Convert to fraction form
    3,235.14/4,852.32 = 895.32/x
  3. Step 3: Cross multiply
    3,235.14x = 4,852.32 × 895.32
  4. Step 4: Simplify right side
    3,235.14x = 4,344,379.14
  5. Step 5: Solve for x
    x = 4,344,379.14/3,235.14
  6. Step 6: Final answer
    x = 1,342.87

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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.