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Finding the Fourth Proportional to 4,714.63, 7,071.80 and 1,204.63

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Solution

The fourth proportional to 4,714.63, 7,071.80 and 1,204.63 is: 1,806.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.63 : 7,071.80 = 1,204.63 : x
  2. Step 2: Convert to fraction form
    4,714.63/7,071.80 = 1,204.63/x
  3. Step 3: Cross multiply
    4,714.63x = 7,071.80 × 1,204.63
  4. Step 4: Simplify right side
    4,714.63x = 8,518,902.43
  5. Step 5: Solve for x
    x = 8,518,902.43/4,714.63
  6. Step 6: Final answer
    x = 1,806.91

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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.