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Finding the Fourth Proportional to 3,921.57, 5,882.15 and 999.70

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Solution

The fourth proportional to 3,921.57, 5,882.15 and 999.70 is: 1,499.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.57 : 5,882.15 = 999.70 : x
  2. Step 2: Convert to fraction form
    3,921.57/5,882.15 = 999.70/x
  3. Step 3: Cross multiply
    3,921.57x = 5,882.15 × 999.70
  4. Step 4: Simplify right side
    3,921.57x = 5,880,373.15
  5. Step 5: Solve for x
    x = 5,880,373.15/3,921.57
  6. Step 6: Final answer
    x = 1,499.49

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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.