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Finding the Fourth Proportional to 4,297.85, 5,935.71 and 3,461.33

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Solution

The fourth proportional to 4,297.85, 5,935.71 and 3,461.33 is: 4,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.85 : 5,935.71 = 3,461.33 : x
  2. Step 2: Convert to fraction form
    4,297.85/5,935.71 = 3,461.33/x
  3. Step 3: Cross multiply
    4,297.85x = 5,935.71 × 3,461.33
  4. Step 4: Simplify right side
    4,297.85x = 20,545,451.09
  5. Step 5: Solve for x
    x = 20,545,451.09/4,297.85
  6. Step 6: Final answer
    x = 4,780.40

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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.