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Finding the Fourth Proportional to 4,714.04, 7,071.54 and 4,694.84

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Solution

The fourth proportional to 4,714.04, 7,071.54 and 4,694.84 is: 7,042.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.04 : 7,071.54 = 4,694.84 : x
  2. Step 2: Convert to fraction form
    4,714.04/7,071.54 = 4,694.84/x
  3. Step 3: Cross multiply
    4,714.04x = 7,071.54 × 4,694.84
  4. Step 4: Simplify right side
    4,714.04x = 33,199,748.85
  5. Step 5: Solve for x
    x = 33,199,748.85/4,714.04
  6. Step 6: Final answer
    x = 7,042.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.