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Finding the Fourth Proportional to 4,286.88, 6,432 and 2,095.32

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Solution

The fourth proportional to 4,286.88, 6,432 and 2,095.32 is: 3,143.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.88 : 6,432 = 2,095.32 : x
  2. Step 2: Convert to fraction form
    4,286.88/6,432 = 2,095.32/x
  3. Step 3: Cross multiply
    4,286.88x = 6,432 × 2,095.32
  4. Step 4: Simplify right side
    4,286.88x = 13,477,098.24
  5. Step 5: Solve for x
    x = 13,477,098.24/4,286.88
  6. Step 6: Final answer
    x = 3,143.80

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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.