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Finding the Fourth Proportional to 5,953.49, 8,197.10 and 5,055.35

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Solution

The fourth proportional to 5,953.49, 8,197.10 and 5,055.35 is: 6,960.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.49 : 8,197.10 = 5,055.35 : x
  2. Step 2: Convert to fraction form
    5,953.49/8,197.10 = 5,055.35/x
  3. Step 3: Cross multiply
    5,953.49x = 8,197.10 × 5,055.35
  4. Step 4: Simplify right side
    5,953.49x = 41,439,190.62
  5. Step 5: Solve for x
    x = 41,439,190.62/5,953.49
  6. Step 6: Final answer
    x = 6,960.49

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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.