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Finding the Fourth Proportional to 4,706.13, 7,058.02 and 1,933.57

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Solution

The fourth proportional to 4,706.13, 7,058.02 and 1,933.57 is: 2,899.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.13 : 7,058.02 = 1,933.57 : x
  2. Step 2: Convert to fraction form
    4,706.13/7,058.02 = 1,933.57/x
  3. Step 3: Cross multiply
    4,706.13x = 7,058.02 × 1,933.57
  4. Step 4: Simplify right side
    4,706.13x = 13,647,177.91
  5. Step 5: Solve for x
    x = 13,647,177.91/4,706.13
  6. Step 6: Final answer
    x = 2,899.87

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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.