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Finding the Fourth Proportional to 4,714.20, 7,064.82 and 3,482.19

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Solution

The fourth proportional to 4,714.20, 7,064.82 and 3,482.19 is: 5,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.20 : 7,064.82 = 3,482.19 : x
  2. Step 2: Convert to fraction form
    4,714.20/7,064.82 = 3,482.19/x
  3. Step 3: Cross multiply
    4,714.20x = 7,064.82 × 3,482.19
  4. Step 4: Simplify right side
    4,714.20x = 24,601,045.56
  5. Step 5: Solve for x
    x = 24,601,045.56/4,714.20
  6. Step 6: Final answer
    x = 5,218.50

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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.