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Finding the Fourth Proportional to 3,846.47, 5,301.89 and 3,005.70

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Solution

The fourth proportional to 3,846.47, 5,301.89 and 3,005.70 is: 4,142.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.47 : 5,301.89 = 3,005.70 : x
  2. Step 2: Convert to fraction form
    3,846.47/5,301.89 = 3,005.70/x
  3. Step 3: Cross multiply
    3,846.47x = 5,301.89 × 3,005.70
  4. Step 4: Simplify right side
    3,846.47x = 15,935,890.77
  5. Step 5: Solve for x
    x = 15,935,890.77/3,846.47
  6. Step 6: Final answer
    x = 4,142.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.