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Finding the Fourth Proportional to 4,185.81, 6,277.11 and 1,411.74

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Solution

The fourth proportional to 4,185.81, 6,277.11 and 1,411.74 is: 2,117.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.81 : 6,277.11 = 1,411.74 : x
  2. Step 2: Convert to fraction form
    4,185.81/6,277.11 = 1,411.74/x
  3. Step 3: Cross multiply
    4,185.81x = 6,277.11 × 1,411.74
  4. Step 4: Simplify right side
    4,185.81x = 8,861,640.21
  5. Step 5: Solve for x
    x = 8,861,640.21/4,185.81
  6. Step 6: Final answer
    x = 2,117.07

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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.