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Finding the Fourth Proportional to 4,701.43, 7,053.08 and 1,414.38

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Solution

The fourth proportional to 4,701.43, 7,053.08 and 1,414.38 is: 2,121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.43 : 7,053.08 = 1,414.38 : x
  2. Step 2: Convert to fraction form
    4,701.43/7,053.08 = 1,414.38/x
  3. Step 3: Cross multiply
    4,701.43x = 7,053.08 × 1,414.38
  4. Step 4: Simplify right side
    4,701.43x = 9,975,735.29
  5. Step 5: Solve for x
    x = 9,975,735.29/4,701.43
  6. Step 6: Final answer
    x = 2,121.85

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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.