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Finding the Fourth Proportional to 4,714.40, 7,071.60 and 1,204.41

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Solution

The fourth proportional to 4,714.40, 7,071.60 and 1,204.41 is: 1,806.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.40 : 7,071.60 = 1,204.41 : x
  2. Step 2: Convert to fraction form
    4,714.40/7,071.60 = 1,204.41/x
  3. Step 3: Cross multiply
    4,714.40x = 7,071.60 × 1,204.41
  4. Step 4: Simplify right side
    4,714.40x = 8,517,130.77
  5. Step 5: Solve for x
    x = 8,517,130.77/4,714.40
  6. Step 6: Final answer
    x = 1,806.62

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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.