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Finding the Fourth Proportional to 5,957.08, 8,213.20 and 4,257.63

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Solution

The fourth proportional to 5,957.08, 8,213.20 and 4,257.63 is: 5,870.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.08 : 8,213.20 = 4,257.63 : x
  2. Step 2: Convert to fraction form
    5,957.08/8,213.20 = 4,257.63/x
  3. Step 3: Cross multiply
    5,957.08x = 8,213.20 × 4,257.63
  4. Step 4: Simplify right side
    5,957.08x = 34,968,756.07
  5. Step 5: Solve for x
    x = 34,968,756.07/5,957.08
  6. Step 6: Final answer
    x = 5,870.12

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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.