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Finding the Fourth Proportional to 4,127.48, 6,184.02 and 3,438.57

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Solution

The fourth proportional to 4,127.48, 6,184.02 and 3,438.57 is: 5,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,127.48 : 6,184.02 = 3,438.57 : x
  2. Step 2: Convert to fraction form
    4,127.48/6,184.02 = 3,438.57/x
  3. Step 3: Cross multiply
    4,127.48x = 6,184.02 × 3,438.57
  4. Step 4: Simplify right side
    4,127.48x = 21,264,185.65
  5. Step 5: Solve for x
    x = 21,264,185.65/4,127.48
  6. Step 6: Final answer
    x = 5,151.86

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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.