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Finding the Fourth Proportional to 5,043.56, 7,546.28 and 4,531.98

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Solution

The fourth proportional to 5,043.56, 7,546.28 and 4,531.98 is: 6,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,043.56 : 7,546.28 = 4,531.98 : x
  2. Step 2: Convert to fraction form
    5,043.56/7,546.28 = 4,531.98/x
  3. Step 3: Cross multiply
    5,043.56x = 7,546.28 × 4,531.98
  4. Step 4: Simplify right side
    5,043.56x = 34,199,590.03
  5. Step 5: Solve for x
    x = 34,199,590.03/5,043.56
  6. Step 6: Final answer
    x = 6,780.84

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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.