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Finding the Fourth Proportional to 4,715.60, 7,071.13 and 1,753.09

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Solution

The fourth proportional to 4,715.60, 7,071.13 and 1,753.09 is: 2,628.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.60 : 7,071.13 = 1,753.09 : x
  2. Step 2: Convert to fraction form
    4,715.60/7,071.13 = 1,753.09/x
  3. Step 3: Cross multiply
    4,715.60x = 7,071.13 × 1,753.09
  4. Step 4: Simplify right side
    4,715.60x = 12,396,311.81
  5. Step 5: Solve for x
    x = 12,396,311.81/4,715.60
  6. Step 6: Final answer
    x = 2,628.79

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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.