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Finding the Fourth Proportional to 5,857.84, 8,084.76 and 3,340

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Solution

The fourth proportional to 5,857.84, 8,084.76 and 3,340 is: 4,609.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.84 : 8,084.76 = 3,340 : x
  2. Step 2: Convert to fraction form
    5,857.84/8,084.76 = 3,340/x
  3. Step 3: Cross multiply
    5,857.84x = 8,084.76 × 3,340
  4. Step 4: Simplify right side
    5,857.84x = 27,003,098.40
  5. Step 5: Solve for x
    x = 27,003,098.40/5,857.84
  6. Step 6: Final answer
    x = 4,609.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.