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Finding the Fourth Proportional to 5,957.84, 8,936.32 and 2,446.89

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Solution

The fourth proportional to 5,957.84, 8,936.32 and 2,446.89 is: 3,670.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.84 : 8,936.32 = 2,446.89 : x
  2. Step 2: Convert to fraction form
    5,957.84/8,936.32 = 2,446.89/x
  3. Step 3: Cross multiply
    5,957.84x = 8,936.32 × 2,446.89
  4. Step 4: Simplify right side
    5,957.84x = 21,866,179.81
  5. Step 5: Solve for x
    x = 21,866,179.81/5,957.84
  6. Step 6: Final answer
    x = 3,670.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.