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Finding the Fourth Proportional to 3,806.95, 5,706.53 and 2,160.02

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Solution

The fourth proportional to 3,806.95, 5,706.53 and 2,160.02 is: 3,237.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.95 : 5,706.53 = 2,160.02 : x
  2. Step 2: Convert to fraction form
    3,806.95/5,706.53 = 2,160.02/x
  3. Step 3: Cross multiply
    3,806.95x = 5,706.53 × 2,160.02
  4. Step 4: Simplify right side
    3,806.95x = 12,326,218.93
  5. Step 5: Solve for x
    x = 12,326,218.93/3,806.95
  6. Step 6: Final answer
    x = 3,237.82

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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.