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Finding the Fourth Proportional to 5,380.53, 8,070.98 and 1,484.97

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Solution

The fourth proportional to 5,380.53, 8,070.98 and 1,484.97 is: 2,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,380.53 : 8,070.98 = 1,484.97 : x
  2. Step 2: Convert to fraction form
    5,380.53/8,070.98 = 1,484.97/x
  3. Step 3: Cross multiply
    5,380.53x = 8,070.98 × 1,484.97
  4. Step 4: Simplify right side
    5,380.53x = 11,985,155.75
  5. Step 5: Solve for x
    x = 11,985,155.75/5,380.53
  6. Step 6: Final answer
    x = 2,227.50

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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.