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Finding the Fourth Proportional to 4,135.84, 6,207 and 2,159.44

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Solution

The fourth proportional to 4,135.84, 6,207 and 2,159.44 is: 3,240.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.84 : 6,207 = 2,159.44 : x
  2. Step 2: Convert to fraction form
    4,135.84/6,207 = 2,159.44/x
  3. Step 3: Cross multiply
    4,135.84x = 6,207 × 2,159.44
  4. Step 4: Simplify right side
    4,135.84x = 13,403,644.08
  5. Step 5: Solve for x
    x = 13,403,644.08/4,135.84
  6. Step 6: Final answer
    x = 3,240.85

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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.