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Finding the Fourth Proportional to 4,701.38, 7,051.97 and 1,238.63

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Solution

The fourth proportional to 4,701.38, 7,051.97 and 1,238.63 is: 1,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.38 : 7,051.97 = 1,238.63 : x
  2. Step 2: Convert to fraction form
    4,701.38/7,051.97 = 1,238.63/x
  3. Step 3: Cross multiply
    4,701.38x = 7,051.97 × 1,238.63
  4. Step 4: Simplify right side
    4,701.38x = 8,734,802.33
  5. Step 5: Solve for x
    x = 8,734,802.33/4,701.38
  6. Step 6: Final answer
    x = 1,857.92

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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.