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Finding the Fourth Proportional to 4,271.14, 5,894.02 and 2,382.62

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Solution

The fourth proportional to 4,271.14, 5,894.02 and 2,382.62 is: 3,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,271.14 : 5,894.02 = 2,382.62 : x
  2. Step 2: Convert to fraction form
    4,271.14/5,894.02 = 2,382.62/x
  3. Step 3: Cross multiply
    4,271.14x = 5,894.02 × 2,382.62
  4. Step 4: Simplify right side
    4,271.14x = 14,043,209.93
  5. Step 5: Solve for x
    x = 14,043,209.93/4,271.14
  6. Step 6: Final answer
    x = 3,287.93

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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.