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Finding the Fourth Proportional to 4,714.64, 7,071.95 and 2,115.75

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Solution

The fourth proportional to 4,714.64, 7,071.95 and 2,115.75 is: 3,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.64 : 7,071.95 = 2,115.75 : x
  2. Step 2: Convert to fraction form
    4,714.64/7,071.95 = 2,115.75/x
  3. Step 3: Cross multiply
    4,714.64x = 7,071.95 × 2,115.75
  4. Step 4: Simplify right side
    4,714.64x = 14,962,478.21
  5. Step 5: Solve for x
    x = 14,962,478.21/4,714.64
  6. Step 6: Final answer
    x = 3,173.62

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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.