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Finding the Fourth Proportional to 5,601.94, 7,730.53 and 3,084.10

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Solution

The fourth proportional to 5,601.94, 7,730.53 and 3,084.10 is: 4,255.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.94 : 7,730.53 = 3,084.10 : x
  2. Step 2: Convert to fraction form
    5,601.94/7,730.53 = 3,084.10/x
  3. Step 3: Cross multiply
    5,601.94x = 7,730.53 × 3,084.10
  4. Step 4: Simplify right side
    5,601.94x = 23,841,727.57
  5. Step 5: Solve for x
    x = 23,841,727.57/5,601.94
  6. Step 6: Final answer
    x = 4,255.98

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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.