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Finding the Fourth Proportional to 4,663.14, 6,973.11 and 3,611.22

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Solution

The fourth proportional to 4,663.14, 6,973.11 and 3,611.22 is: 5,400.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.14 : 6,973.11 = 3,611.22 : x
  2. Step 2: Convert to fraction form
    4,663.14/6,973.11 = 3,611.22/x
  3. Step 3: Cross multiply
    4,663.14x = 6,973.11 × 3,611.22
  4. Step 4: Simplify right side
    4,663.14x = 25,181,434.29
  5. Step 5: Solve for x
    x = 25,181,434.29/4,663.14
  6. Step 6: Final answer
    x = 5,400.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.