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Finding the Fourth Proportional to 5,181.53, 7,770.00 and 1,482.91

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Solution

The fourth proportional to 5,181.53, 7,770.00 and 1,482.91 is: 2,223.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,181.53 : 7,770.00 = 1,482.91 : x
  2. Step 2: Convert to fraction form
    5,181.53/7,770.00 = 1,482.91/x
  3. Step 3: Cross multiply
    5,181.53x = 7,770.00 × 1,482.91
  4. Step 4: Simplify right side
    5,181.53x = 11,522,203.29
  5. Step 5: Solve for x
    x = 11,522,203.29/5,181.53
  6. Step 6: Final answer
    x = 2,223.71

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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.