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Finding the Fourth Proportional to 4,715.51, 7,074.41 and 1,428.41

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Solution

The fourth proportional to 4,715.51, 7,074.41 and 1,428.41 is: 2,142.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,715.51 : 7,074.41 = 1,428.41 : x
  2. Step 2: Convert to fraction form
    4,715.51/7,074.41 = 1,428.41/x
  3. Step 3: Cross multiply
    4,715.51x = 7,074.41 × 1,428.41
  4. Step 4: Simplify right side
    4,715.51x = 10,105,115.47
  5. Step 5: Solve for x
    x = 10,105,115.47/4,715.51
  6. Step 6: Final answer
    x = 2,142.96

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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.