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Finding the Fourth Proportional to 4,500.53, 6,750.80 and 1,213.95

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Solution

The fourth proportional to 4,500.53, 6,750.80 and 1,213.95 is: 1,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,500.53 : 6,750.80 = 1,213.95 : x
  2. Step 2: Convert to fraction form
    4,500.53/6,750.80 = 1,213.95/x
  3. Step 3: Cross multiply
    4,500.53x = 6,750.80 × 1,213.95
  4. Step 4: Simplify right side
    4,500.53x = 8,195,133.66
  5. Step 5: Solve for x
    x = 8,195,133.66/4,500.53
  6. Step 6: Final answer
    x = 1,820.93

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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.