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Finding the Fourth Proportional to 5,213.64, 7,820.50 and 1,318.04

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Solution

The fourth proportional to 5,213.64, 7,820.50 and 1,318.04 is: 1,977.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.64 : 7,820.50 = 1,318.04 : x
  2. Step 2: Convert to fraction form
    5,213.64/7,820.50 = 1,318.04/x
  3. Step 3: Cross multiply
    5,213.64x = 7,820.50 × 1,318.04
  4. Step 4: Simplify right side
    5,213.64x = 10,307,731.82
  5. Step 5: Solve for x
    x = 10,307,731.82/5,213.64
  6. Step 6: Final answer
    x = 1,977.07

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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.