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Finding the Fourth Proportional to 4,611.14, 6,352.26 and 3,666.63

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Solution

The fourth proportional to 4,611.14, 6,352.26 and 3,666.63 is: 5,051.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.14 : 6,352.26 = 3,666.63 : x
  2. Step 2: Convert to fraction form
    4,611.14/6,352.26 = 3,666.63/x
  3. Step 3: Cross multiply
    4,611.14x = 6,352.26 × 3,666.63
  4. Step 4: Simplify right side
    4,611.14x = 23,291,387.08
  5. Step 5: Solve for x
    x = 23,291,387.08/4,611.14
  6. Step 6: Final answer
    x = 5,051.11

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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.