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Finding the Fourth Proportional to 5,504.92, 7,597.02 and 3,147.06

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Solution

The fourth proportional to 5,504.92, 7,597.02 and 3,147.06 is: 4,343.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,504.92 : 7,597.02 = 3,147.06 : x
  2. Step 2: Convert to fraction form
    5,504.92/7,597.02 = 3,147.06/x
  3. Step 3: Cross multiply
    5,504.92x = 7,597.02 × 3,147.06
  4. Step 4: Simplify right side
    5,504.92x = 23,908,224.04
  5. Step 5: Solve for x
    x = 23,908,224.04/5,504.92
  6. Step 6: Final answer
    x = 4,343.07

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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.