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Finding the Fourth Proportional to 5,053.82, 6,968.69 and 3,460.73

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Solution

The fourth proportional to 5,053.82, 6,968.69 and 3,460.73 is: 4,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.82 : 6,968.69 = 3,460.73 : x
  2. Step 2: Convert to fraction form
    5,053.82/6,968.69 = 3,460.73/x
  3. Step 3: Cross multiply
    5,053.82x = 6,968.69 × 3,460.73
  4. Step 4: Simplify right side
    5,053.82x = 24,116,728.35
  5. Step 5: Solve for x
    x = 24,116,728.35/5,053.82
  6. Step 6: Final answer
    x = 4,771.98

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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.