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Finding the Fourth Proportional to 5,957.82, 8,214.78 and 4,835.22

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Solution

The fourth proportional to 5,957.82, 8,214.78 and 4,835.22 is: 6,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.82 : 8,214.78 = 4,835.22 : x
  2. Step 2: Convert to fraction form
    5,957.82/8,214.78 = 4,835.22/x
  3. Step 3: Cross multiply
    5,957.82x = 8,214.78 × 4,835.22
  4. Step 4: Simplify right side
    5,957.82x = 39,720,268.55
  5. Step 5: Solve for x
    x = 39,720,268.55/5,957.82
  6. Step 6: Final answer
    x = 6,666.91

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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.