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Finding the Fourth Proportional to 4,235.65, 6,348.15 and 2,156.17

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Solution

The fourth proportional to 4,235.65, 6,348.15 and 2,156.17 is: 3,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,235.65 : 6,348.15 = 2,156.17 : x
  2. Step 2: Convert to fraction form
    4,235.65/6,348.15 = 2,156.17/x
  3. Step 3: Cross multiply
    4,235.65x = 6,348.15 × 2,156.17
  4. Step 4: Simplify right side
    4,235.65x = 13,687,690.59
  5. Step 5: Solve for x
    x = 13,687,690.59/4,235.65
  6. Step 6: Final answer
    x = 3,231.54

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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.